The invention concerns a gear-cutting machine for the machining of gear teeth with a gear-cutting tool driven in rotary movement about its tool axis, further with an assembly that includes a tool holder for the gear-cutting tool and is rotatably mounted on a carrier, allowing the tool axis to be set in a desired orientation, with an actuator device through which the assembly can be set to a desired angular position, and with a locking device that allows the assembly to be secured against being dislodged from the set angular position. According to the invention, a protruding arm that is a functional element of the actuator device is coupled to the assembly through a non-rotatable connection.