The present invention relates to a coupling between a first part (1) and a second part (15) for use at chip removing machining, wherein the coupling comprises two interacting surfaces (3, 17) and members (21) for forcing the surfaces (3, 17) together, wherein the surfaces (3, 17) are profiled with grooves in order to enable form locking against each other, wherein each surface (3, 17) comprises atleast two sets of grooves (7A, 7B and 18A, 18B, respectively), wherein each set of grooves (7A, 7B, 18A, 18B) has a main direction (S1, S2, S3, S4), and wherein the main directions in the same surface (S1, S2 and S3, S4, respectively), extend transverse to each other. The invention also relates separately to a tool, a cutting head and a holder. Characteristic of the coupling according to the present invention is that for both surfaces (3, 17) that the sets of grooves (7A, 7B and 18A, 18B, respectively) do not intersect each other entirely.