An assembly for a valve drive of an internal combustion engine, which has a hydraulic support element and a cam follower connected by way of a clamp. The follower rests on one end via a cap on a spherical head of a pressure piston of the support element. The piston extends in a bore of a housing of the support element. The clamp flanks the cap with holding strips along the sides. The inner sides run in a guide zone on the outer shell of the piston. The housing has an opening for hydraulic fluid that can be conducted between the housing and the piston through at least one passage in the piston to a storage chamber. The guide zone on the piston is also designed as an anti-rotation mechanism therefore. The piston is installed in a defined manner and is torsionally oriented in relation to the cam follower.