The present invention relates to an air sterilizing apparatus wherein: ozone is generated through an ozone generation element and a controller therefor and supplied through an air circulation fan to form an air flow by a separate fan, and peroxide or a limonene solution (olefin) supplied in a cartridge form and then transpired is supplied thereto. The air flow of the supplied ozone and the air flow of the peroxide or limonene solution (olefin) are designed to have a flow channel to maintain a laminar flow state for a smooth supply of respective generated particles; a turbulence-inducing flow channel is separately prepared to easily make turbulence through convergence of the circulations of the two flows; and an air-mixed space for making turbulence is separately prepared, such that the ozone and the peroxide or the ozone and the limonene solution (olefin) cause a sufficient chemical reaction in the space, and here, OH (hydroxyl) radicals are generated, and the generated radicals or negative ions again make a laminar flow channel and are released far away through the laminar flow channel, and thus, through the application of the purification principle of a natural system, the indoor air or the bacteria floating in the air is sterilized and purified by the same principle as in the natural system.