POWER OF ATTORNEY

 The undersigned, as a Section 16 reporting person of Qualys, Inc.
(the "Company"), hereby constitutes and appoints Bruce Posey, as the
undersigned's true and lawful attorney-in-fact to:

 1.  complete and execute Forms 3, 4 and 5 and other forms and all
     amendments thereto as such attorney-in-fact shall in his discretion
     determine to be required or advisable pursuant to Section 16 of the
     Securities Exchange Act of 1934 (as amended) and the rules and regulations
     promulgated thereunder, or any successor laws and regulations, as a
     consequence of the undersigned's ownership, acquisition or disposition of
     securities of the Company; and

 2.  do all acts necessary in order to file such forms with the SEC, any
     securities exchange or national association, the Company and such other
     person or agency as the attorney-in-fact shall deem appropriate.

 The undersigned hereby ratifies and confirms all that said attorney-in-fact and
agents shall do or cause to be done by virtue hereof.  The undersigned
acknowledges that the foregoing attorney-in-fact, in serving in such capacity at
the request of the undersigned, is not assuming, nor is the Company assuming,
any of the undersigned's responsibilities to comply with Section 16 of the
Securities Exchange Act of 1934 (as amended).

 This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
Company and the foregoing attorney-in-fact.

 IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 22nd day of May, 2020.


                                         Signature: /s/ Joo Mi Kim
                                                    --------------

                                         Print Name:    Joo Mi Kim