A method for producing a magnetic recording medium in which a flexible nonmagnetic support is moved continuously while being retained in contact with a plurality of spaced apart cylindrical cans to form thin films of metal on opposite sides of the support successively at portions where the support is in contact with the cylindrical cans. The tension of the support with respect to the Young's modulus thereof is adjusted to satisfy predetermined conditional expressions in each of a plurality of support conveyance sections which are defined by the spaced cylindrical cans.