A compsn. is new, and comprises an antigen (I), except an albumin, mixed with an antigen formulation (II) consisting of: a stabilising detergent; a micelle-forming agent; and a biodegradable and biocompatible oil. (II) is a stable oil-in-water emulsion. Also new is a method for inducing a cytotoxic T-lymphocyte response in a human or animal comprising administering (I) and (II), (II) lacking an immunostimulating peptide component. (I) may be antigenic portions of HIV gp120, malaria antigens, CS protein and Sprorozoite surface protein, influenza antigens, carcinoma P21, etc. (I) also may not include a B-cell lymphoma anitgen.