The invention relates to a fragrancing aqueous transparent solid composition in a cosmetically acceptable support:a) at least one aqueous phase andb) at least one fatty acid salt (soap) andc) at least one oxyethylenated fatty alcohol of formula (I) below:CH3(CH2)x—CH2—(CH2CH2OH)y—OH (I)in which x is an integer greater than 20 and preferably ranging from 21 to 30 and y varies from 1 to 20 andd) at least one fragrancing substance.The present invention also relates to a method of stabilizing a fragrancing aqueous transparent solid composition comprising, in a cosmetically acceptable support:a) at least one aqueous phase andb) at least one fatty acid salt andc) at least one fragrancing substance, characterized by the fact that it comprises adding, to said composition, at least one polyoxyethylenated fatty alcohol of formula (I).
