The invention relates to a balancing or measuring adapter (1) for clamping a component (2) on a rotating machine element of a balancing or measuring machine, which has a main body (4, 5) with a receiving opening (6) for the component (2) to be clamped, a collet chuck (11) arranged inside the main body (4, 5) with clamping tongues (26) for centrally clamping the component (2) and an actuator (12) axially adjustable between a clamp position and a release position for actuating the collet chuck (11). The collet chuck (11) is arranged inside the main body (4, 5) so as to be axially moveable such that, upon a displacement of the actuator (12) from the release position into the clamp position, in a first clamping phase the clamping tongues (26) of the collet chuck (11) move radially outwards, firstly to a front chucking area (27) allocated to the component (2) to be clamped, and that in a second clamping phase, the clamping tongues (26) move radially outwards with an axial movement inside the main body (4, 5) to a rear chucking area (28) allocated to the main body (4, 5).