When a large load is exerted during restraint control of an engine of a jet propulsion boat, the drop of the engine revolution frequency causes a feeling of harsh braking. An engine revolution frequency control apparatus provided to prevent this problem includes a engine revolution frequency detector for detecting an engine revolution frequency, and threshold value setting units for setting first and second engine revolution frequency threshold values. The second threshold value is set to be higher than the first threshold value. An engine control unit includes an overspeed governing capability that starts restraint control for restraining rotation when the engine revolution frequency detected by the engine revolution frequency detector is more than said first threshold value when the engine is accelerating, and terminates restraint control when the engine revolution frequency is less than a second thresholds value during deceleration.