To provide a speed control method and a speed control device that can suppress the occurrence of overshoot and damped oscillations, to make the moving speed of an moving bode reach a target-speed.

A carriage control device 1 controls the rotational speed of a CR motor 35 so that the traveling speed of a carriage 31 follows a first target- speed value, until a comparison processing part 62 detects that the carriage 31 has reached a target-speed switching position set in a target-speed switching position register 51. Moreover, if the comparison part 62 detects that the carriage 31 has reached the target-speed switching position, a target-speed value selector 71 is actuated, the target-speed value supplied to a feedback processing part 72 is switched form a first target-speed value to a final target-speed value, and the carriage control device 1 controls the rotational speed of the CR motor 35 so that the traveling speed of the carriage 31 follows the final target-speed value.