EXHIBIT 24

	ACE LIMITED
	Power of Attorney
	Section 16(a) Reports

The undersigned, in his capacity as a director of ACE Limited (the "Company")
following the completion of the Company's acquisition of The Chubb Corporation
(at which time the Company's name will change to Chubb Limited), does hereby
appoint each of Joseph F. Wayland, Samantha Froud, Christopher J. Kearns and
Paul B. Medini, his true and lawful attorney, to execute in his or her name,
place and stead, in his capacity as a director and/or executive 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 January
15, 2016.


						/s/ James M. Zimmerman
						Signature
						James M. Zimmerman
						Typed or Printed Name