James Veitch (1862-1917) was a Scotland international rugby union player.
He played for Royal HSFP.
He played for Edinburgh District in the 1883 inter-city match.
He played for East of Scotland District in the 30 January 1886 match against West of Scotland District.
He was capped 8 times for Scotland in the period 1882 to 1886.
He was born to Agnes Pringle and Andrew Veitch.