The invention relates to a new cosmetic cleansing composition with improved skin conditioning and stability properties. Said cleansing composition contains (in % by weight) 5-60% of a surface-active agent, 0.1-10% of a diblock or triblock copolymer or a mixture thereof, 0.1-10% of a saturated liquid oligomer of an unsaturated fatty acid, said oligomer having more than 30 carbon atoms, 0.1-30% of an oil or fat, 10-80% of water, nd has an improved average foam stability ranging between 35 and 60 mm according to the foam stability test.