He moved one ahead of Alfredo di Stefano's tally of 307 when Sergio Ramos crossed from the right after 15 minutes at the Molinon and Raul caught the ball with a first time shot on the half-volley.
He grabbed his 309th goal, and Real's fourth on the day, when Inaki Lafuente fumbled Gonzalo Higuain's shot leaving Raul with a simple tap in near the end.
"Many years are going to pass before there is another player like Raul," Real coach Juande Ramos said after the game.
"He's always leading from the front, giving his all, taking responsibility in the team and all that remains for me is to congratulate him."
His total includes 216 in the league, 18 in the King's Cup and he is the Champions League's leading scorer with 64. The remainder were scored in other tournaments.
Argentina-born Di Stefano helped Real to five consecutive European Cups between 1956 and 1960, and won eight league titles. He was made the club's honorary president in 2000.
