A stabilizer arrangement is provided for a motor vehicle with a stabilizer (1), which is connected to the vehicle chassis and which is connected, on each side of the vehicle, to a spring-mounted wheel carrier part with a piston-cylinder unit (4, 4′). Each of the piston-cylinder units (4, 4′) includes at least one piston (8), which is movably arranged in a cylinder (7) and which splits the cylinder into a first and a second cylinder chamber (7a, 7b). The cylinder chambers are separate from one another. The piston-cylinder units (4, 4′) are respectively connected in an articulated manner, at one end, to an end of the stabilizer 1 and, at the other end, to a spring-mounted wheel carrier part. The piston (8) has a connecting line (14) that connects the first and second cylinder chambers. The respective connecting line (14) has a nonreturn valve (15), which acts in one direction. The piston (8) can be moved into at least one end position.