A curable polymer composition that is quickly curable to form a cured article having excellent adhesion and followability to a substrate and at least including (A) an acrylic copolymer having a hydrogen atom bonded to a silicon atom, (B) a compound having at least two aliphatic unsaturated bonds in one molecule thereof, (C) a fluoroolefin copolymer including vinylidene fluoride as main component, and (D) a catalyst for hydrosilylation reaction.