A surgical clip for a clip applier to ligate vessels. The clip contains two opposing legs connected in parallel by an apex to form a U-shape. Each leg has an outer surface with a half-round cross-sectional configuration for minimizing tissue damage by preventing clip scissoring during ligation. Each leg has an inner surface with a flat central surface, two concave grooves on opposing sides of the central surface, and two convex ridges on opposing sides of the each groove. As a vessel is ligated, vessel tissue moves into the concave grooves while remaining frictionally engaged by the compressive forces applied by the central surfaces and convex ridges of each leg so that the clip does not move on the vessel. The edges of the grooves and the edges of the ridges of each leg are rounded to prevent any cutting of the ligated vessel.