A mechanism for adjusting a timepiece bridge fixed to a structure, including, coaxial and able to move one with respect to the other by sliding and/or rotation on a common axis, and returned one towards the other by an elastic return or clamping means, a first component fixed to the structure and a second component fixed to the bridge, the first component including a first relief facing a second relief that the second component includes, the first relief and the second relief having variable cooperation depending on the relative angular position between the first component and the second component, each the particular relative angular position defining a particular distance between reference surfaces of the first component and the second component.