A piste grooming apparatus for a motor vehicle, in particular a track-laying vehicle, includes a cutter support which can be adjusted relative to the motor vehicle about a plurality of axes and which has a cutting shaft arrangement that is arranged rotatably in an impact housing. A smoothing mechanism is arranged--as seen in the forward direction of travel of the motor vehicle--behind the cutting shaft arrangement and is held in an adjustable manner.The impact housing and the cutting shaft arrangement are held on the cutter support in a manner such that they can be adjusted about a pivot axis which--as seen in the forward direction of travel of the motor vehicle--lies behind an axis of rotation of the cutting shaft arrangement.