Abstract: A method of measuring dimensions of parts having a continuous or discontinuous surface during the course of the machining. This process has the feature that the displacements of a measurement sensor are mechanized, that the mechanized displacement of the said measurement sensor is controlled in such a manner that it gradually approaches the surface to be measured and comes into contact with it, that the dimension measured at the moment of contact is recorded, and that the sensor is maintained at the measured dimension or the sensor is moved in the opposite direction for a predetermined period of time before starting a new cycle of approach of the sensor to effect a new contact with the surface to be measured and recording the measured dimension at the time of said new contact. The invention also relates to a device for the performing of this method.