A fast charging system for electrically driven vehicles for forming an electroconductive connection between a vehicle and a stationary charging station, comprises a contact device, a charging contact device (10) and a positioning device, the contact device or the charging contact device being disposed on a vehicle, the charging contact device being electrically connectable to the contact device in a contact position, the contact device being positioned in a longitudinal and/or transverse direction with respect to the charging contact device and being moved to the contact position by means of the positioning device, the charging contact device having a charging-contact-element carrier (12) comprising charging contact elements (13), the charging-contact-element carrier being formed as a longitudinal rail disposed in a moving direction of the vehicle, the charging contact elements each forming a strip-shaped charging contact surface (29), the contact device having a contact element carrier comprising contact elements, the contact elements each forming a contact surface which is smaller than the charging contact surface, the contact elements being electrically connectable to the charging contact elements for forming respective contact pairs in the contact position, wherein the charging contact device has a heating device (35) by means of which the temperature of the charging contact elements is controllable.