Cold rolled material manufacturing equipment comprises: an unwinding device (21a) for unwinding a hot rolled coil after acid pickling; joining means (23), disposed on the exit side of the unwinding device, for joining the tail end of a preceding coil (25b) to the leading end of a succeeding coil (22a) unwound from the unwinding device; a rolling mill (10a, 10b) for continuously rolling the coils, with the leading end and the tail end of the coils being joined, in one direction; a strip storage device (50), disposed between the joining means and the rolling mill, for storing a strip S in order to perform continuous rolling by the rolling mill during joining of the preceding coil and the succeeding coil by the joining means; a strip cutting device (28) for cutting the strip to a desired length; a winding device (24) for winding the rolled coil; transport means (30) for withdrawing the coil from the winding device, and transporting the coil to the unwinding device (21a, 21b) so that the coil is rolled a plurality of times until the strip thickness of the coil reaches a desired product strip thickness; and a rolling speed control device (40) for controlling a rolling speed during joining of the preceding coil and the succeeding coil to a lower speed than a steady rolling speed.