In an air purifying apparatus for removing contaminants, such as soot and the like, by burning contaminated air while passing the contaminated air through a filter heated by microwaves, the apparatus includes: a housing, which is hollow, and comprises an inlet on one side and an outlet on the other side； a ceramic filter of a longitudinal material, which is arranged in the housing in a longitudinal direction of the housing, and includes a plurality of partition walls formed so that a flow path where contaminated air flows may be divided in plurality； and a microwave generator configured to generate microwaves to be supplied to one end surface of the ceramic filter in a longitudinal direction thereof to heat the one end surface of the ceramic filter in the longitudinal direction.
