An energy recycling type dust removing processing system for removing a contaminated material in high temperature contaminated gas and an inertial impact type energy recovery and dust removal apparatus. The energy recycling type dust removing processing system includes: a duct collecting a high temperature contaminated gas including high temperature dust; an energy recovery and inertial impact type dust removal unit recovering energy of the high temperature contaminated gas to convert the high temperature contaminated gas into a middle temperature contaminated gas and removing coarse dust from the high temperature dust through an inertial impact phenomenon; an in-flight adsorption apparatus removing fine dust from the contaminated gas in which the coarse dust is removed; and a micro dust removal apparatus removing micro dust in the contaminated air from which the fine dust is removed by the in-flight adsorption apparatus.