A system and method for controlling a wrapping process of a round bale is disclosed. The round bale rotates in a bale chamber of a round baler with elastic wrapping material being removed from a supply roller using a tensioning device and guided during the wrapping process by at least one guide roller. The round bale is wrapped with the wrapping material pretensioned by the tensioning device with an adjustable wrapping tension predetermined by the control unit. A sensor assembly may sense the actual value for a force resulting from the wrapping tension, which is compared with a target value for the force resulting from the wrapping tension, which is determined during the performance of at least one preceding wrapping operation and specific to the wrapping material. The control unit controls the tensioning device depending on the deviation determined by the comparison of the actual value and the target value.