An electro-hydraulic actuator (1) for actuating a brake (2) with a hydraulic thrust unit comprises an electric motor (3), a converting mechanism (5) to convert a rotational motion of the motor (4) into a translational motion, a cylinder (8), and a piston (9) connected to the converting mechanism, wherein the converting mechanism (5) is configured so that, for a given angular speed of the drive shaft (4), the translation speed of the piston (9) decreases from a maximum value in a rear length (14) of the piston stroke to a minimum value in a front length (13) of the piston stroke.