February 6, 2020

Frank Abbott
Chief Financial Officer
Harmony Gold Mining Company Limited
Randfontein Office Park
CNR Ward Avenue and Main Reed Road
Randfontein, South Africa, 1759

       Re: Harmony Gold Mining Company Limited
           Form 20-F for Fiscal Year Ended June 30, 2019
           Filed October 24, 2019
           File No. 001-31545

Dear Mr. Abbott:

       We have reviewed your filing and have the following comments. In some of
our
comments, we may ask you to provide us with information so we may better
understand your
disclosure.

       Please respond to these comments within ten business days by providing
the requested
information or advise us as soon as possible when you will respond. If you do
not believe our
comments apply to your facts and circumstances, please tell us why in your
response.

       After reviewing your response to these comments, we may have additional
comments.

Form 20-F for Fiscal Year Ended June 30, 2019

Item 4. Information on the Company
B. Business Overview, page 26

1.    We note the disclosure of mineral reserves on page 29 of your filing.
Please revise to
      disclose the metallurgical recovery factor for each of your mineral
reserves.
D. Property, Plant and Equipment., page 44

2.    Please revise to provide an overview for each of your significant
properties pursuant to
      Item 102 of Regulation S-K and the guidance in paragraph (b) of Industry
Guide 7. It
      appears that this type of disclosure for your mining operations was
provided in your Form
      20-F for the fiscal year ended June 30, 2018, but is not included in your
filing for the
      fiscal year ended June 30, 2019.
 Frank Abbott
Harmony Gold Mining Company Limited
February 6, 2020
Page 2
Exhibit 15.1, page 63

3.       We note the disclosure of mineral resources in your filing, including
on pages 63 and 66
         of your integrated annual report. Only proven and probable reserves
may be disclosed in
         filings with the United States Securities and Exchange Commission
pursuant to the
         Instructions to paragraph (b)(5) of Industry Guide 7. Please revise to
remove
         the disclosure of mineral resources.
        We remind you that the company and its management are responsible for
the accuracy
and adequacy of their disclosures, notwithstanding any review, comments, action
or absence of
action by the staff.

       You may contact John Coleman at 202-551-3610 or Ethan Horowitz at
202-551-3311 if
you have questions regarding comments.



FirstName LastNameFrank Abbott                   Sincerely,
Comapany NameHarmony Gold Mining Company Limited
                                                 Division of Corporation
Finance
February 6, 2020 Page 2                          Office of Energy &
Transportation
FirstName LastName