A cationic glyoxylated polyacrylamide polymer composition having improved storage stability for use in manufacture of paper, board or the like, which aqueous composition includes a glyoxylated polyacrylamide polymer having a cationic charge density in a range of 0.8-1.8 meq/g of dry polymer in dry content of 5-15% and a buffering acid. The aqueous composition has pH in a range of 2.2-4.0 and a viscosity of less than 80 mPas measured at 25° C. by using a Brookfield viscometer after 30 days storage at 35° C. or after 60 days storage at 23° C.