Abstract: The reversible watch includes first (1) and second (2) cases mounted back-to-back and each having a back cover and securing elements for securing it to the other case in a way which the user can dismantle. In a particular embodiment, each of the cases includes horns (5) through which bars (8, 9) pass. The bars are also used as means for securing the first case to the second and as means for securing each of the ends (12, 13) of the wristband (15) to the assembly formed by said first and second cases. In another embodiment, the back covers of the two cases include elements for securing them to each other, and the assembly of the two cases is mounted in a reversible manner on a support secured to a non-reversible wristband.