A transmission unit for motor vehicles having a continuous variable transmission (2) comprising an ingoing shaft (3), a driven shaft (4), a first pulley (5) positioned on the ingoing shaft (3), another pulley (6) positioned on the driven shaft (4), and an endless transmission element (7) located between said pulleys (5-6), wherein said pulleys (5-6) each include two pulley halves (8-9, 10-11) each having conical contact surfaces (12) arranged to axially adjust in relation to one another and being polished, wherein a transmission ratio between the ingoing shaft (3) and the driven shaft (4) is arranged to be continuously alterable, said transmission element (7) includes a lubricated belt having metal parts (13) with contact surfaces (14) cooperating with said conical contact surfaces (12) of the pulley halves (8-9, 10-11), said contact surfaces (14) of the parts (13) having a profiling (17) with a thin-film lubrication applied thereon.