Actuator module (2) comprises at least one piezoelectric or magnetostrictive element (3). The actuator module is pre-tensioned by a tube spring (8) and is arranged in an actuator housing (12). The actuator housing contains a sealing compound (16) that fills an intermediate space (19) between the piezoelectric or magnetostrictive element and the tube spring and a gap (11) between the tube spring and the actuator housing. An independent claim is also included for a process for assembling an actuator module. Preferred Features: The actuator module is thermally coupled to the actuator housing via the sealing compound.