The invention discloses an engine with air supply devices, belonging to the technical field of power machinery. The engine is additionally provided with air supply devices, such as a reciprocating air compressor, a high-pressure air storage tank, an air supply valve and the like. The high-pressure air storage tank supplies air to a cylinder in a jetting way in a compression stroke or an expansion stroke through the air supply valve, and the fixed time of the first air supply is smaller than a crank angle of 140 degrees in front of a compression top dead center. The engine has two working modes of combustion power and air power, and the two working modes can be switched according to the working conditions to form hybrid power drive; and the problem of poor transient response of a turbo supercharged engine is solved, and various problems of power decline, oil consumption increment, discharge deterioration and the like of the engine under plateau conditions due to atmospheric pressure decline and insufficient charge also can be solved. The high-pressure air storage tank can supply a driving force, and the driving force is combined with the combustion power to form an internal combustion air hybrid power system, so that the engine operates in an efficient area to the greatest extent, and the efficiency of the whole power system is improved.