Ian Shaw was a Scotland international rugby union player.
He played for Glasgow HSFP.
He was capped for Glasgow District. Shaw played at Fly-half in the 1930 inter-city match.
He played for Scotland Probables in 19 December 1931 playing at Centre.
He was capped once for in 1937. He scored a drop goal in the match against Ireland.
His brother Wilson Shaw was also capped for Scotland.