A surface (1A, 1B) of a medical, in particular dental or surgical instrument or instrument part (2) comprising a substrate (3) with a rough surface structure (4) and a layer which is applied to or deposited on the substrate (3) in such a way that the rough surface structure (4) of the substrate (3) is at least not completely smoothed by the layer or the roughness is increased, wherein the layer applied to or deposited on the substrate (3) is embodied as a glass-ceramic layer (5). In addition, a medical, in particular dental or surgical instrument or instrument part (2) having such a surface (1A, 1B) and a method for producing such an instrument or instrument part (2) is described.