A sunscreen composition containing a UV-A dibenzoylmethane derivative, such as 4-(1,1-dimethylethyl)-4'-methoxydibenzoylmethane (PARSOL??? 1789), and a stabilizer for the dibenzoylmethane derivative having formula (I) or (II), or mixtures: ##STR1## wherein each R1, same or different, is an alkyl group having 1 to 22 carbon atoms, a diol having the structure HO--R2 --OH, or a polyglycol having the