Control system and control method of engine

A water-cooled multi-cylinder engine, includes a control system in which an engine revolution number is reduced to a level less than a restriction revolution number on the basis of at least one condition of misfire and fuel stop for all the cylinders of the engine, at a time of an occurrence of an overheat, so as to restrict an increasing of a temperature of the engine. In a case when the engine revolution number is less than the restriction revolution number after the overheat occurs, or the engine revolution number is lowered to be less than the restriction revolution number on the basis of the revolution number restriction control, a specific cylinder is controlled to be stopped by at least one of misfire and fuel stop.