A surveying system for surveying and tracking a movable target object that defines a target point includes a surveying device with a sighting unit defining a target axis and a detector for generating a continuously current amount-of-deviation signal dependent on a deviation from an optimal target orientation. A second unit on the target object side enables continuous determination of movements and/or positions of the target object with reference to an external coordinate system. The surveying system includes a target point tracking mode in which respective first measurement data currently generated by the first unit and the respective current amount-of-deviation signal and respective second measurement data currently generated by the second unit are continuously aggregated. On the basis thereof, a control signal is derived for continuous automatic motorized modification of the target axis orientation such that the target axis continuously aims at the target point.