A method of treating a superficial or partial thickness burn caused by heat, or by UV or laser radiation is disclosed. The method includes topically applying a topical composition containing an avermectin compound to an affected area immediately after a burn occurs. The method further includes cooling the affected area with ice or water prior to application of the topical composition. Additionally, the method includes topically applying a second topical composition containing fluocinonide and salicylic acid on the affected area to further enhance anti-inflammatory effect of the avermectin compound on the damaged skin.