A composite foam of low thermal conductivity comprisesa) 20-80% by volume of silica aerogel particles having a mean diameter of from 0.1 to 20 mm and a density of from 0.08 to 0.40 g/cm.sup.3,b) 20-80% by volume of a styrene polymer foam which surrounds the particles of component a) and binds them to one another and has a density of from 0.01 to 0.15 g/cm.sup.3, and, if desired,c) conventional additives in effective amounts.