To provide driving equipment for a roll stand which can reciprocate in a rolling direction, which is suitable for a small and simple rolling mill with small output and high degree of utilization.

This driving equipment for a roll stand which can reciprocate in the rolling direction has rollers, which are gradually decreased in hole diameter, supported rotatably, and are forcefully driven, and these rollers roll on a tubular material to be rolled while changing the rotating direction for cold- rolling of the pipe. The force for reciprocating the roll stand 3 is directly transmitted via at least one of linear driving units 4, 5, and 6 to be engaged with the roll stand 3.