The engine control device is applied to a vehicle equipped with a suspension control device for driving stepping motors for changing damping forces of shock absorbers. The suspension control device performs an initializing process for resolving the step-out of the stepping motors by driving the stepping motors when an initialization performing condition is satisfied. The engine control device continues the engine operation when a signal for inhibiting the automatic stop of the operation of the engine is sent to the engine control device and the engine control device judges that no malfunction occurs in the suspension control device even if the engine stop condition is satisfied. The engine control device automatically stops the operation of the engine when the engine stop condition is satisfied and the engine control device judges that a malfunction occurs in the suspension control device even if the signal is sent to the engine control device.
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