A method for introducing an elevator support into an elevator system includes a support brake device for controlling a drawing-in speed of the elevator support. The elevator support is wound on a support roller at a floor or in a machine room of a building. The elevator support is unwound from the roller and introduced into a shaft of the elevator system. The support brake device is arranged between the support roller and the shaft, and a drawing-in speed of the elevator support is adjusted by the support brake device. The support brake device contains a traction pulley for receiving the elevator support that is rotatably mounted in a support frame so that the elevator support can at least partly loop around the traction pulley. The traction pulley is braked by a pulley brake device, whereby the drawing-in speed can be controlled.