Abstract: The invention relates to novel polymeric organosilicon compounds comprising hydrocarbon radicals with at least one aliphatic carbon-carbon double bond in a terminal position. To produce these compounds, (A) compounds containing at least one aliphatic carbon-carbon double bond per molecule, in a terminal position, are reacted with (B) oligomeric or polymeric organosilicon compounds containing units of the general formula R1R2SiO1/2 and units of the general formula HRSiO and/or HSiO3/2 and possibly units of the general formula R2SiO, where R is a monovalent, possibly substituted, hydrocarbon radical with between 1 and 18 carbon atoms per radical, which is free of aliphatic carbon-carbon double bonds, and R1 is a monovalent hydrocarbon radical with between 1 and 18 carbon atoms per radical which has at least one aliphatic carbon-carbon double bond in a terminal position, subject to the condition that the sum of the units HRSiO and R1R2SiO1/2 on average is greater than 2.