Geodetic measuring devices, in particular total stations, are usually set up with respect to the plumb line, whereby a compensator usually eliminates the residual inclinations, provided that the levelling has been carried out to such an extent that the compensator is within its working range. An adapter is presented which can be reversibly attached to commercially available tribrachs and enables automated levelling. For this purpose, the adapter’s control system read outs the tachymeter’s vertical axis compensator, which itself does not require its own sensor system. An actuator causes the tribrach screws to rotate until levelling below a definable threshold value is achieved. The achievable accuracy as well as the time of automated levelling corresponds to that of a manually performed levelling process. As the main application monitoring with motorised total stations is seen.