To obtain both a polymer having excellent various kinds of characteristics such as ionic conductivity, etc., and a battery using the same.

This polymer compound comprises a polymer chain represented by formula (1) (R1 is a 1-3C alkane or alkene group which may be substituted with an amide group, an imide group, a sulfo group, a urethane group, an ester group, a thioester group, a phenyl ester group, a carboxy group or a phosphate group; R2 and R3 are the same or different and are each O, S or NH; R4 is a 1-3C alkane or alkene or a silane group which may be substituted with a 1-3C alkyl group or a phosphazene group; Xs are the same or different and are each O, S or NH; m and n are each an integer of ≥1).