This invention relates to certain extracts of Artemisia annua plant, both in their crude and refined forms, and certain refined forms of Artemisia annua plant extracts composed substantially of Artemisinin and its analogs, which are chemically classified as sesquiterpenes with an endo-peroxide group [FIG. 1]. These are suitable for compositions comprising topical application, and for the treatment or improvement of skin condition including acne, rosacea, topical wounds, age spots, wrinkles, excess facial oil, and darkened skin.