The invention concerns a one-finger gripper device that comprises a pneumatic actuator (10) with a control piston (16) that is connected to a gripper jaw (19) for the movement of the latter between an active and idle position, and where the gripper jaw (19) is set up and susceptible to linear movements on a (Y) axis at right angles to the (X) axis of the control piston, the piston and the gripper jaw being connected to each other by a transmission at 90°.