The invention concerns an organopolysiloxane polymer, having a glycerol derivative, which can swell up by containing at least its own weight of a liquid oil obtained by the addition polymerization of the organohydrogen polysiloxane expressed by the following general Formula (a1), with the hydrocarbon having an alkenyl group expressed by the following general formula (b3) wherein the organopolysiloxane and organohydrogen polysiloxane have MD or MT structure. (a1) : R1aR2bHcSiO(4-a-b-c) (b3) : R3(CH2)rR3wherein, R1 in the formulae may be identical or different, R1 is a substituted or unsubstituted monovalent hydrocarbon group having 1-30 carbon atoms which does not contain an alkenyl group and glycerol group, R2 is a monovalent group having a glycerol derivative, R3 is an alkenyl group having 2-20 carbon atoms, a, b, c are respectively defined by :1.0≤a≤2.3, 0.001≤b≤1.0, 0.001≤c≤1.0, and 1.5≤a+b+c≤2.6, and r is an integer from 0-20.