A control device of a lean-burn engine has an electronic control unit. Upon start of switching from stoichiometric driving to lean driving, the control unit (10) derives, from a map, a target pressure (P0) and a basic opening degree (D0) of an idling speed control valve, serving as an air bypass valve, based on the throttle opening degree (TPS) and the engine rotation speed (Ne) at the start of the switching. The control unit supplies driving pulses (N) of a number corresponding to the basic opening degree (D0) to a stepper motor (32) of the idling speed control valve. Then, the control unit supplies the stepper motor with driving pulses of a number corresponding to an opening degree correction amount (D1) which in turn corresponds to a deviation between the target intake pressure (P0) and an actual intake pressure (PB), to thereby suppress a change in the torque at the time of switching between the rich driving, including the stoichiometric driving, and the lean driving of the lean-burn engine.