A tamping assembly for a track-tamping machine tamping tools designed as rocker arm pairs. Each tamping tool has a pick arm mounted on a support so as to be pivotally adjustable about a pivot axis and with a hydraulic drive engaging one end and a pick on the other end. The pick arm is of single web design and is mounted on the pivot axis between two axis supports assigned to the support. A pick holder is between the pick arm and the pick. The pick holder is mounted on the pick arm to be pivotally adjustable about an adjustment axis by a pivot drive. The adjustment axis is perpendicular to the pivot axis, and the point of attack of the hydraulic drive on the pick arm, the longitudinal axis of the pick arm, and the adjustment axis lie in a common plane between the axis supports.