Abstract: The present invention relates to a speed change control apparatus for controlling the speed change of an engine without using a clutch. In this apparatus, a mechanical transmission comprising a plurality of gears and having a neutral position provided between a main motor for running and a driving wheel. Speed change of the engine is performed as follows. First, the rotation speeds of the driving wheel (namely, the drive shaft) and the main motor are detected. Then, the main motor is operated without load. When the motor starts an no-load operation, the gears of a transmission are disengaged. Thus, the transmission is shifted to the neutral position. Subsequently, the rotation speed of the main motor is controlled so that the gears are engaged when both the rotation speeds of the wheel and the motor are nearly synchronized with each other.