Tore Nordtvedt is a retired Norwegian football player. Nordtvedt played his entire 16 year long carrier at SK Brann.

He debuted against Lyn Oslo in the championship season of 1963 when he was 18 years old. He played at the club from 1963 to 1979.
Nordtvedt played a total of 557 games for Brann, which is a club record.