The universal timepiece comprises a winter/summer switching mechanism (27, 29, 31, 25, 19, 19H, 19E, 20, 20H, 20E, 21, 21E, 21H, 22, 22E, 22H, 23, 23E, 23H, 11, 11A, 12, 12A, 13, 13A, 14, 14A, 15, 15A, 17) arranged to be driven intermittently by the movement to selectively displace some of the geographic indications carried by the dial (3) by 1/24th of a turn in order to change by one hour the local time associated with these geographic indications during a change from winter time to summer time or from summer time to winter time.