Abstract: A process for the control of switching or shifting processes in automatic gears with an allocatable control device for use in drivelines of vehicles with at least one drive motor, especially in the form of an internal combustion engine. In a first process step the actual values of certain travel-dynamics magnitudes for a given time point to are detected or calculated; in a second process step there is determined from the actual values a theoretically achievable connection speed of the drive motor, especially the internal combustion engine, in the actually shifted-in gear for each time step; in a third process step the ascertained connection speed is compared with limit speeds that can be stipulated in a characteristic field of the drive motor, in which in dependence on the comparison results in no switching process, or an upshift- or downshift- switching process is initiated by governing of the setting members actuatable for the carrying-out of a gear change.