To provide a speed control method in a continuous hot-rolling line for accurately performing overtaking control of a preceding material and the succeeding material in a joining machine.

In a method for performing the speed control of the rolls provided on the steel sheet conveying line so that the tip of the succeeding material is successively made to overtake the rear end of the preceding material by providing rolls for enabling speed control of a steel sheet in plural places of the steel sheet conveying line between a coil box and the standby position of a joining truck, by this speed control method of the succeeding material in the continuous hot-rolling line, speed control is performed by controlling a self roll as speed master after the tip of the steel sheet which is conveyed till the tip reaches the speed-controllable front roll and performing the speed control of the speed controllable roll which is located in the rear of the self roll in a state where the speed is decelerated 5-1% from that of the self roll.