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                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                  SCHEDULE 13D
                   Under the Securities Exchange Act of 1934*

                            LENNOX INTERNATIONAL INC.
- --------------------------------------------------------------------------------
                                (Name of Issuer)

                     Common Stock, par value $0.01 per share
- --------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                   526107 10 7
- --------------------------------------------------------------------------------
                                 (CUSIP Number)


       John W. Norris, Jr., 2140 Lake Park Blvd., Richardson, Texas 75080
                                 (972) 497-5000
- --------------------------------------------------------------------------------
            (Name, Address and Telephone Number of Person Authorized
                     to Receive Notices and Communications)

                                  July 29, 1999
- --------------------------------------------------------------------------------
             (Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Sections 240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check
the following box. [ ]

Note: Schedules filed in paper format shall include a signed original and five
copies of the schedule, including all exhibits. See Section 240.13d-7(b) for
other parties to whom copies are to be sent.

*The remainder of this cover page should be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).


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CUSIP No. 526107 10 7                                          Page 2 of 6 Pages
- --------------------------------------------------------------------------------

(1)       Names of Reporting Persons I.R.S. Identification Nos. of Above Persons
          (entities only)

          John W. Norris, Jr.
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         (2)      Check the Appropriate Box if a Member of a Group

                  (a)      ................................................[  ]
                  (b)      ................................................[  ]
- --------------------------------------------------------------------------------
         (3)      SEC Use Only


- --------------------------------------------------------------------------------
         (4)      Source of Funds

                  PF
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         (5)      Check if Disclosure of Legal Proceedings is Required Pursuant
                  to Items 2(d) or 2(e)
                                                                           [  ]
- --------------------------------------------------------------------------------
         (6)      Citizenship or Place of Organization

                  United States Citizen
- --------------------------------------------------------------------------------
Number of             (7)      Sole Voting Power             2,690,590 shares
Shares Bene-          ----------------------------------------------------------
ficially              (8)      Shared Voting Power           1,306,635 shares
Owned by              ----------------------------------------------------------
Each                  (9)      Sole Dispositive Power        2,690,590 shares
Reporting             ----------------------------------------------------------
Person With           (10)     Shares Dispositive Power      1,306,635 shares
- --------------------------------------------------------------------------------
         (11)     Aggregate Amount Beneficially Owned by Each Reporting Person

                  3,997,225 shares
- --------------------------------------------------------------------------------
         (12)     Check if the Aggregate Amount in Row (11) Excludes Certain
                  Shares
                                                                           [  ]
- --------------------------------------------------------------------------------
         (13)     Percent of Class Represented by Amount in Row (11)

                  8.9%
- --------------------------------------------------------------------------------
         (14)     Type of Reporting Person (See Instructions)

                  IN
- --------------------------------------------------------------------------------


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                                                               Page 3 of 6 Pages

Item 1.           SECURITY AND ISSUER

                  This statement relates to the shares (the "Shares") of common
                  stock, par value $.01 per share (the "Common Stock"), of
                  Lennox International Inc., a Delaware corporation (the
                  "Company"), which has its principal executive offices at 2140
                  Lake Park Blvd., Richardson, Texas 75080.

Item 2.           IDENTITY AND BACKGROUND

                  This statement is filed by John W. Norris, Jr., whose
                  principal business address is 2140 Lake Park Blvd.,
                  Richardson, Texas 75080. Mr. Norris is the Chairman of the
                  Board and Chief Executive Officer of the Company. Mr. Norris
                  is a citizen of the United States.

                  The remaining sub-items of Item 2 are not applicable to Mr.
                  Norris.

Item 3.           SOURCE AND AMOUNT OF FUNDS OR OTHER CONSIDERATION

                  On July 29, 1999, Mr. Norris acquired 100 Shares pursuant to
                  an open market purchase for a purchase price of $1,913. Mr.
                  Norris used personal funds to make such purchase. All other
                  Shares beneficially owned by Mr. Norris were acquired
                  primarily through a combination of inheritance, gift, the
                  grant of shares pursuant to long-term incentive plans of the
                  Company and the exercise of employee stock options.

Item 4.           PURPOSE OF THE TRANSACTION

                  Mr. Norris acquired the Shares beneficially owned by him for
                  investment. Mr. Norris does not have any plans, nor has he
                  made proposals, which relate to or would result in any of the
                  events enumerated in paragraphs (a) through (j) of Item 4 to
                  Schedule 13D. However, Mr. Norris reserves the right to
                  acquire additional shares, to dispose of shares or to
                  formulate other purposes, plans or proposals to the extent he
                  deems advisable in light of his personal investment needs
                  (and, in his capacity as trustee of the trusts described in
                  Item 5, the investment needs of such trusts), market
                  conditions and other factors.

Item 5.           INTEREST IN SECURITIES OF THE ISSUER

                  (a) As of August 12, 1999, Mr. Norris beneficially owns an
                  aggregate of 3,997,225 shares of Common Stock, constituting
                  approximately 8.9% of the outstanding shares of Common Stock.


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                                                               Page 4 of 6 Pages


                  (b) Mr. Norris directly beneficially owns 2,365,870 shares of
                  Common Stock, constituting approximately 5.3% of the
                  outstanding shares of Common Stock. Mr. Norris has the sole
                  power to dispose of and vote such shares. Mr. Norris is deemed
                  to directly beneficially own an aggregate of 204,600 shares of
                  Common Stock subject to options previously granted by the
                  Company that are currently exercisable or will become
                  exercisable within 60 days of the date of the filing of this
                  Schedule 13D. Such shares represent approximately 0.5% of the
                  outstanding shares of Common Stock. In the event Mr. Norris
                  exercises such options, he will have sole power to vote and
                  dispose of the shares issued upon such exercise. Mr. Norris
                  may also be deemed to indirectly beneficially own 120,120
                  shares of Common Stock owned by the Robert W. Norris
                  Irrevocable Descendant's Trust (the "Descendant's Trust"). Mr.
                  Norris is the sole trustee of the Descendant's Trust and in
                  such capacity has the sole power to dispose of and vote the
                  Shares held by the Descendant's Trust. The shares of Common
                  Stock owned by the Descendant's Trust represent approximately
                  0.3% of the outstanding shares of Common Stock. Mr. Norris may
                  be deemed to indirectly beneficially own 321,750 shares of
                  Common Stock owned by the Robert W. Norris Trust A (the "R.N.
                  Trust A"). Mr. Norris is a co-trustee of the R.N. Trust A and
                  in such capacity shares the power to dispose of and vote the
                  Shares held by the R.N. Trust A. The shares of Common Stock
                  owned by the R.N. Trust A represent approximately 0.7% of the
                  outstanding shares of Common Stock. Mr. Norris may be deemed
                  to indirectly beneficially own 321,750 shares of Common Stock
                  owned by the John W. Norris, Jr. Trust A (the "J.N. Trust A").
                  Mr. Norris is a co-trustee of the J.N. Trust A and in such
                  capacity shares the power to dispose of and vote the Shares
                  held by the J.N. Trust A. The shares of Common Stock owned by
                  the J.N. Trust A represent approximately 0.7% of the
                  outstanding shares of Common Stock. Mr. Norris may be deemed
                  to indirectly beneficially own 663,135 shares of Common Stock
                  owned by the Megan E. Norris Trust A (the "M.N. Trust A"). Mr.
                  Norris is a co-trustee of the M.N. Trust A and in such
                  capacity shares the power to dispose of and vote the Shares
                  held by the M.N. Trust A. The shares of Common Stock owned by
                  the M.N. Trust A represent approximately 1.5% of the
                  outstanding shares of Common Stock.

                  (c) The only transaction effected by Mr. Norris in the past
                  sixty days was the open market purchase of 100 shares of
                  Common Stock described in Item 3. above.

Item 6.           CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OR RELATIONSHIPS
                  WITH RESPECT TO SECURITIES OF THE ISSUER.

                  Pursuant to a Lock-Up Letter executed by Mr. Norris on July
                  28, 1999 in connection with the Company's initial public
                  offering, Mr. Norris has agreed that, without the prior
                  written consent of Morgan Stanley & Co. Incorporated on behalf
                  of the underwriters in the Company's initial public offering,
                  he will not, during the period ending 180 days after July 28,
                  1999, offer, pledge, sell or otherwise transfer or dispose of
                  any shares of Common Stock, subject to certain exceptions.



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                                                               Page 5 of 6 Pages


Item 7.           MATERIAL TO BE FILED AS EXHIBITS.

                  Exhibit 1 - Lock-Up Letter, dated July 28, 1999, executed by
                  John W. Norris, Jr.





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                                                               Page 6 of 6 Pages


                                    SIGNATURE

                  After reasonable inquiry and to the best of my knowledge and
belief, I certify that the information set forth in this statement is true,
complete and correct.

Date:  August 12, 1999


                                                  /s/ John W. Norris, Jr.
                                                  ----------------------------
                                                  John W. Norris, Jr.



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                               Index to Exhibits

                                  Description
                                  -----------

Exhibit 1  -  Lock-Up Letter, dated July 28, 1999, executed by John W. Norris,
              Jr.


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                                    EXHIBIT 1





                                                                  July 28, 1999

Morgan Stanley & Co. Incorporated
Credit Suisse First Boston Corporation
Warburg Dillon Read LLC
Morgan Stanley & Co. International Limited
Credit Suisse First Boston (Europe) Limited
UBS AG acting through its division
Warburg Dillon Read
c/o Morgan Stanley & Co. Incorporated
1585 Broadway
New York, NY  10036



Ladies and Gentlemen:

         The undersigned understands that Morgan Stanley & Co. Incorporated and
Morgan Stanley & Co. International Limited (collectively "MORGAN STANLEY")
propose to enter into an Underwriting Agreement (the "UNDERWRITING AGREEMENT")
with Lennox International Inc., a Delaware corporation (the "COMPANY"),
providing for the public offering (the "PUBLIC OFFERING") by the several
Underwriters, including Morgan Stanley (the "UNDERWRITERS"), of shares (the
"SHARES") of the common stock, par value $.01 per share, of the Company (the
"COMMON STOCK").

         To induce the Underwriters that may participate in the Public Offering
to continue their efforts in connection with the Public Offering, the
undersigned hereby agrees that, without the prior written consent of Morgan
Stanley on behalf of the Underwriters, it will not, during the period commencing
on the date hereof and ending 180 days after the date of the final prospectus
relating to the Public Offering (the "PROSPECTUS"), (1) offer, pledge, sell,
contract to sell, sell any option or contract to purchase, purchase any option
or contract to sell, grant any option, right or warrant to purchase, lend or
otherwise transfer or dispose of, directly or indirectly, any shares of Common
Stock or any securities convertible into or exercisable or exchangeable for
Common Stock or (2) enter into any swap or other arrangement that transfers to
another, in whole or in part, any of the economic consequences of ownership of
Common Stock, whether any such transaction described in clause (1) or (2) above
is to be settled by delivery of Common Stock or such other securities, in cash
or otherwise; PROVIDED, HOWEVER, that the undersigned shall be permitted to make
a bona fide gift of shares of Common Stock during such period if the undersigned
delivers to Morgan Stanley a letter substantially similar to this letter
executed by the donee. The foregoing sentence shall not apply to (a) the sale of
any Shares to the Underwriters pursuant to the Underwriting Agreement or (b)
transactions relating to shares of Common Stock or other securities acquired in
open market transactions after the completion of the Public Offering. In
addition, the undersigned agrees that, without the prior written consent of
Morgan Stanley on behalf of the Underwriters, it will not, during the period
commencing on the date

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hereof and ending 180 days after the date of the Prospectus, make any demand for
or exercise any right with respect to, the registration of any shares of Common
Stock or any security convertible into or exercisable or exchangeable for Common
Stock.

         Whether or not the Public Offering actually occurs depends on a number
of factors, including market conditions. Any Public Offering will only be made
pursuant to an Underwriting Agreement, the terms of which are subject to
negotiation between the Company and the Underwriters.

         Please sign your name or names exactly as printed below. For a joint
account, each joint owner should sign. Persons signing in a representative
capacity should indicate their capacity.


                                            Very truly yours,


                                            /s/ JOHN W. NORRIS, JR.
                                            --------------------------------