POWER OF ATTORNEY
                      (For Executing Form ID and Forms 3, 4 and 5)

     Know all by these presents, that the undersigned hereby constitutes and
appoints each of Joshua Kaufman, David Will, Pengli Li and Jason Minio of Cooley
LLP, and Neil Cohen of Anchiano Therapeutics Ltd. (the "Company"), signing
individually, the undersigned's true and lawful attorneys-in-fact and agents to:

     (1)	Prepare, execute in the undersigned's name and on the undersigned's
behalf, and submit to the Securities and Exchange Commission (the "SEC"), a Form
ID and Forms 3, 4 and 5 (including amendments thereto and joint filing
agreements in connection therewith) in accordance with Section 16 of the
Securities Exchange Act of 1934, as amended (the "Exchange Act"), and the rules
thereunder, in the undersigned's capacity as an officer, director or beneficial
owner of more than 10% of a registered class of securities of the Company;

     (2)	Do and perform any and all acts for and on behalf of the undersigned
that may be necessary or desirable to prepare and execute any such Form ID and
Forms 3, 4 or 5 (including amendments thereto and joint filing agreements in
connection therewith) and file such forms with the SEC and any stock exchange,
self-regulatory association or any similar authority; and

     (3)	Take any other action of any type whatsoever in connection with the
foregoing that, in the opinion of such attorney-in-fact, may be of benefit to,
in the best interest of, or legally required of the undersigned, it being
understood that the documents executed by the attorney-in-fact on behalf of the
undersigned pursuant to this Power of Attorney shall be in such form and shall
contain such terms and conditions as the attorney-in-fact may approve in the
attorney-in-fact's discretion.

     The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, and
their substitutes, in serving in such capacity at the request of the
undersigned, are not assuming (nor is the Company assuming) any of the
undersigned's responsibilities to comply with Section 16 of the Exchange Act.

     This Power of Attorney shall remain in full force and effect until the
earliest to occur of (a) 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, (b) revocation by the undersigned in a signed
writing delivered to the Company and the foregoing attorneys-in fact or (c) as
to any attorney-in-fact individually, until such attorney-in-fact is no longer
employed by the Company or employed by or a partner at Cooley LLP or another law
firm representing the Company, as applicable.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of the date written below.

Date: January 8, 2021                               /s/ Neil Cohen
                                                        Neil Cohen