The invention relates to an actuating device for a double clutch with two friction clutches that are actuatable by means of a respective lever system. The actuating device comprises two actuator units for converting a rotary movement carried out by a respective electric motor about an axis of rotation into a linear movement to actuate a friction clutch. To simplify and improve actuating devices of this general type, a respective planetary rolling contact transmission is arranged coaxially with a rotor of the electric motor and driven by the latter. The planetary rolling contact transmission converts the rotary movement into the linear movement using an exclusively mechanical actuating device. The actuator units are arranged to be parallel with respect to their axes of rotation and are received in a common housing.