The invention relates to a stable multiple phase emulsion of the O.sub.1 /W/O.sub.2 type with high proportions of the primary O.sub.1 /W emulsion. The new emulsions have an emulsifier-free primary oil-in-water phase consisting of a viscoplastic aqueous gel containing the finely distributed inner oil droplets together with a gelling agent, wherein the thixotropic primary oil-in-water phase has a yield point in the range from 20 to 100 Pa and a plastic viscosity of 0.01 to 0.1 Pa.multidot.s and contains at least one lipophilic agent in the primary oil; and a secondary oil phase in which the primary oil-in-water phase is present together with a lipophilic emulsifier; and wherein the proportion of the inner oily phase is from 10 to 35 % by weight relative to the total weight of the emulsion. The higher proportions of the inner oily phase render possible higher proportions of organic sun protection agents with simultaneous avoidance of skin irritations.