ABSTRACT STABLE TOPICAL PHARMACEUTICAL COMPOSITION OF AVERMECTIN COMPOUND The present invention provides stable topical pharmaceutical compositions comprising avermectin compound for treating dermatological conditions including rosacea, common acne, seborrheic dermatitis, perioral dermatitis, an acneform rash, transient acantholytic dermatitis or acne necrotica milliaris in a mammal. More particularly, the invention relates to stable topical pharmaceutical compositions comprising a stabilizing-solubilizing system consisting of an oily phase consisting of at least one surfactant-emulsifier, an aqueous phase and solvent(s) containing avermectin compound, and one or more pharmaceutically acceptable excipients.