A tie-pad assembly is disclosed which includes a rail; a tie and a rectangular tie-pad plate made of relatively soft elastic rubber material having a plurality of longitudinal grooves provided on upper and lower surfaces thereof. A first pair of cutaway portions are formed in lower side edges of the plate in the longitudinal direction of the rail. The tie-pad plate is disposed between the rail and the tie and is provided with a first pair of reinforcement members made of relatively hard elastic rubber material. These members are each formed with an extending portion to be inserted into the first cutaway portions, and a pressure receiving portion having a height somewhat lower than the maximum thickness of the tie-pad plate. The members are integrally coupled to the tie-pad plate by vulcanization; and an aerial gap is formed between the members and the tie-pad plate when assembled, the gap extending along the top surface of the assembly.