The invention relates to the actuation of a converter lock-up clutch (44) of a hydrodynamic torque converter (4) in a vehicle drive-train by means of a safety function where, in addition to a driving strategy function, the safety function can actuate the converter lock-up clutch (44) by issuing a clutch actuation command. For this purpose, at least one rotation speed at the torque converter (4) is monitored. If the monitored rotation speed is below a rotation speed threshold, the safety function commands an actuation of the converter lock-up clutch (44) in its opening direction.