The self-propelled and network-independent pallet stretching machine is characterized by its compactness and usability. It possesses the innovative and patented characteristic of a controlled steering and convinces by its extremely compact design. As a result, a small space requirement around the pallet is demanded during stretching. While stretching, the Machine drives round the fixed pallet and wraps the pallet load. Also different pallet sizes are automatically processed. This enables a mobile use at different workplaces and the wrapping of over-sized pallets. When detecting obstacles in the way, the machine will stop automatically.