A measuring machine includes a mobile unit to move a measurement sensor in a measurement volume. The mobile unit includes at least one member mobile along an axis under the thrust of driving means and being subjected to dynamic deformations. A laser sensor is provided with a laser emitter fixed to a first portion of the mobile member and a target fixed to a second portion of the mobile member and designed to receive a laser beam generated by the emitter. Means are provided for compensating for measurement errors of the machine resulting from the dynamic deformations of the mobile unit and in response to displacement of a point of incidence of the laser beam on the target with respect to a reference position in undeformed conditions, the displacement of the point resulting from the relative displacement of the first and second portions of the mobile member.