The headrest has a carrier element, which has joining means for fixing to a backrest of a motor vehicle seat and an upper base, and having a cushion part which has a supporting member and is displaceable with respect to the carrier element in a direction of displacement. The carrier element features a latching strip having several latching elements, and the supporting member has a locking means which in a locking position engages with one of the latching elements and in a release position is disengaged from the latching elements. The supporting member further forms at least one oblong hole surrounding the upper base. The supporting member also has a spring-loaded strip which extends along a lower edge of the oblong hole and abuts against the upper base and pushes the same into contact with the upper edge of the oblong hole.