Rail fastening system for fastening at least one rail (2) to a rail substrate, preferably a solid travel path, which comprises: a rail support plate (1) arranged for holding the rail (2), wherein the rail (2) in the mounted state is in contact with the rail support plate and is fastened thereto by a rail mount (1a, 1b, 1c); a base plate (3) arranged for fastening the rail support plate (1) on the rail substrate, wherein the rail support plate (1) in the mounted state is fastened on the base plate (3) by way of one or more, preferably two, retaining elements (6) and the base plate (3) is in contact with the rail substrate; wherein the base plate (3) is of multi-part, preferably two-part, construction so that this is adjustable to different dimensions of the rail support plate (1).