Camshaft unit (1) having a first camshaft (2), which is phase-adjustable with respect to a crankshaft, a second camshaft (3), which is disposed concentric to the first camshaft (2) and is always in phase with the crankshaft, a camshaft adjuster (5) with which the first camshaft (2) is phase-adjustable with respect to the crankshaft, a connecting member (4), which is displaceable in the axial direction of the camshafts (2, 3) and has first toothed section (16) that meshes with counter-toothed section (6) on the first camshaft (2), and an adjusting drive (9) by which a connecting member (4) can be displaced axially, wherein through an axial advance, a relative rotation of the first camshaft (2) with respect to the connecting member (4) takes place.