An orthopedic screw fastener system which includes at least two screws and at least one bone plate. At least one screw is a locking screw comprising a screw head and a screw shank, the screw head being provided with a thread. At least one other screw is a non-locking screw comprising a non-threaded (i.e., smooth) screw head and a screw shank. The at least one bone plate has a thickness and it has at least two through-bores which are able to receive screws. The plate has two or more through-openings, each formed by at least two through-bores, each through-bore being defined by a midpoint and by a radius, and the through-bores are offset relative to each other and intersect each other in such a way that intersection lines and/or intersection surfaces extend into the depth of the through-opening.