An aqueous, storage-stable and preferably colorless composition containing N-vinylbenzylaminoalkyl-functional siloxanols is derived from a reaction of hydrolysis products and optionally, condensation products of hydrolysis products, of at least one aminoalkyl-functional alkoxysilane or a mixture of aminoalkyl-functional alkoxysilanes with vinylbenzyl halide. The composition contains not less than 1% by weight of N-vinylbenzylaminoalkyl-functional siloxanols and/or salts of the protonated N-vinylbenzylaminoalkyl-functional siloxanols and water, based on the weight of the composition. The composition has a pH of 2 to 3.5. A process can be used for producing this composition.