A motor-vehicle door latch has a door-mounted fork displaceable between an open and a fully latched position and through an intermediate semilatched position and a body-mounted door bolt engageable with the fork and retainable thereby only in the semilatched and fully latched positions. A door-mounted pawl can pivot about a pawl axis between a holding position engaging and retaining the fork in the fully latched and semilatched positions and a freeing position permitting the fork to move freely between its positions. A controller is connected to a servomotor in turn coupled to the door bolt for displacing same between an outer and an inner position so that, when the bolt is engaged with the fork in the fully latched position, movement of the bolt into the inner position pulls a door carrying the latch tightly closed. A switch lever can pivot about the pawl axis. Interengaging formations on the switch lever, on the pawl, and on the fork displace the switch lever into a first position with the fork in the semilatched and open positions and with the pawl in the open position and displace the switch into a second position with the fork in the fully latched position. A switch between the control means and the switch lever prevents operation of the servomotor except in the second position of the switch lever.