A railroad plate and connectable shim is disclosed for fastening railroad tracks over ground having a flat or raised topography in an economically feasible manner. The instant system provides a base plate with a sloping grooved channel for reception of the lower flange of a rail to be held in place in combination with a trapezoidal shim to insure the proper cant of the rail over the various topographical areas of the country. The instant base plate, trapezoidal shim, rail and railroad tie are all fastened via a set of screws which are angled towards the center of gravity of the rail.