A damping valve comprising a one-piece damping-valve body with axial through-passages for each direction of flow, at least one side of the damping-valve body having arranged on it at least one valve disk that at least partially covers an outlet opening of a through-passage, the damping-valve body having a radial inflow opening to the through-passages. The outlet openings of the through-passages for a first direction of flow on one side of the damping-valve body have a trapezoidal cross section, and the outlet openings of the through-passages for a second direction of flow on the other side of the damping-valve body open into a common encircling annular channel. The through-passages with outlet openings with the trapezoidal cross section are arranged on a larger pitch circle than the through-passages that open into the annular channel.