A valve train of an internal combustion engine with a camshaft (1) that has a carrier shaft (2) and a cam part (3) that is locked on rotation on the carrier shaft and is arranged displaceable in the axial direction and has at least one cam group (4a to 4c, 5a to 5c) of different elevations for variable actuation of a gas-exchange valve and a groove-shaped axial connecting link (10) with two connecting-link paths (11, 12) crossing its periphery, and with two actuation pins (13, 14) that can be coupled in the connecting-link paths for displacement of the cam part in the direction of the two connecting-link paths. The axial connecting link is further provided with a third connecting-link path (20) that runs essentially equidistant to one of the two crossing connecting-link paths, and the actuation pins can be coupled simultaneously in the first connecting-link path (11) and the third connecting-link path, and the actuation pin (13) coupled in the third connecting-link path forces a further displacement of the cam part in a direction of the first connecting-link path when passing through the crossing region (16) of the first and second connecting-link paths.