Non-domesticated mammalian animals are anesthetized and immobilized by injecting an effective amount of an anesthetizing and immobilizing drug comprising pharmaceutically active ingredients of butorphanol tartrate, azaperone tartrate and medetomidine hydrochloride (BAM) into the animal from a dart. The BAM combination is preferably initially formed as lyophilized powder of the pharmaceutically active ingredients, and then reconstituted before injection as an injectable liquid in the environment of the animal.