Device (300; 200) for displaying the time, comprising a time-display member (A1, A2) and a switchover mechanism (100) allowing the time-display member to switch between a first time zone and a second time zone. This switchover mechanism comprises: a first heart piece (3) capable of rotating; a first lever (1) having a first end (1a) designed to collaborate with the first heart piece (3) with a view to causing the display member (A1, A2) to indicate the time in the first time zone; a second lever (2; 42) designed to cause the display member (A1, A2) to indicate the time of the second time zone; a two-position selector member (5) collaborating with the first lever (1), and a control member (P) allowing selection of the first or the second time zone for display. The two-position selector member (5) is designed to collaborate directly with a second end (1b) of the first lever (1).