Abstract: In a process for depositing large dry textile fiber webs on a component shape, a rolled up textile fiber web is deposited fully automatically, by means of robots. A robot-carrier cloth gripper grips the end of the textile fiber web to be deposited, and places it on the component shape. The web is then unwound from the roll by a robot-carried cloth unwinding stand, and is deposited on the component shape. During the depositing, the textile fiber web is draped by means of robot-carried heated sliding metal sheets or robot-carried movably disposed heated rollers. The depositing operation is continuously monitored and automatically readjusted to maintain a constant depositing rate. Alignment of the textile fiber web relative to the component shape is also monitored continuously by optical devices, and is readjusted as required.