Apparatus for the motorized opening and closing of a motor vehicle body part which can be pivoted with respect to a vehicle body about a hinged lid axis includes a guide cylinder having a first end and a second end which can be coupled to the body at a pivot axis which is parallel to the hinged lid axis, a piston guided displaceably in the cylinder, and a piston rod having one end attached to the piston and an opposite end which protrudes from the first end of the cylinder and can be coupled to the pivotable body part at a distance from the hinged lid axis. A drive device drives first and second Bowden cables, which extend in parallel from the second end of the cylinder, to displace the piston in the cylinder. The first Bowden cable includes a sheath which is supported on the piston and a core which is fixed to the first end of the cylinder. The second Bowden cable includes a sheath which is supported on the second end of the cylinder and a core which is fixed to the piston.