Exhibit 24

CHUBB LIMITED
Power of Attorney
Section 16(a) Reports

The undersigned, in her capacity as an officer of Chubb Limited (the "Company"),
does hereby appoint each of Joseph F. Wayland and Samantha Froud, her true and
lawful attorney, to execute in her name, place and stead, in her capacity as an
officer of said company, any and all reports required by Section 16(a) of the
Securities Exchange Act of 1934 and the rules thereunder, and any and all
amendments thereto, and all other documents necessary or incidental in
connection therewith, and to file or cause to be filed the same with the
Securities and Exchange Commission, the New York Stock Exchange and such other
exchanges and authorities as may be necessary or appropriate.  Said attorneys
shall each have full power and authority to do and perform, in the name and on
behalf of the undersigned, in any and all capacities, each and every act
requisite or necessary to be done in the premises, as fully and to all intents
and purposes as the undersigned might or could do in person, the undersigned
hereby ratifying and approving the acts of any of said attorneys.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports under Section 16(a) of the
Exchange Act 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 foregoing attorneys-in-fact.

IN TESTIMONY WHEREOF, the undersigned has executed this instrument as of May 5,
2020.


						/s/ Annmarie T. Hagan
						Signature
						Annmarie T. Hagan
						Typed or Printed Name