Abstract: A device for picking up a top layer of limp sheet material from a lay-up of sheet material includes a head assembly including a pair of rollers between which the top layer is retainably gripped and a double-acting cylinder for lifting the head assembly, with the top layer held thereby, to an elevated condition above the remainder of the lay-up. The device compensates for the reduction in the height of the lay-up as the layers are singularly picked up from the layer and includes a controller for automatically controlling the sequencing of operations of the device.