A diorganopolysiloxane terminated only at one of the molecular chain ends with a (meth)acryloxyalkyl group bonded to the terminal silicon atom is prepared, instead of the prior art method in which a diorganopolysiloxane obtained by the anionic ring-opening living polymerization reaction of, for example, hexamethyl cyclotrisiloxane by using a lithium catalyst is subjected to a desalinating condensation reaction with a (meth)acryloxyalkyl dimethyl chlorosilane, by a novel method in which the diorganopolysiloxane obtained by the anionic ring-opening living polymerization reaction of, for example, hexamethyl cyclotrisiloxane is hydrolyzed and the thus obtained monofunctionally silanol-terminated diorganopolysiloxane is reacted with a (meth)acryloxyalkyl dimethyl dialkylamino silane to effect a deamination reaction. This method is advantageous in that the relatively narrow molecular weight distribution of the diorganopolysiloxane obtained by the anionic living polymerization is not affected and retained as such in the deamination reaction while not in the prior art method.