 Scunthorpe were relegated at the end of the 1967–68 season and in July 1968, Blyth moved on to Crystal Palace.Blyth joined Crystal Palace in the summer of 1968 as an old-style wing-half, but he developed into a centre-back.He immediately became a regular member of Palace's 1968–69 Division 2 promotion side, and in their first ever match in Division 1, he scored Palace's first goal in the top flight with a looping header against Manchester United.