Gordon Milford Hudson (January 5, 1894 – July 10, 1959) was a Canadian curler.

Hudson grew up in Kenora, Ontario, and participated in many Manitoba Curling Association Bonspiels.

Hudson fought in World War I, and then joined the now defunct Strathcona Curling Club.

His Manitoba team, which also included Sam Penwarden, Ron Singbush and Bill Grant finished the round robin with a 7-2 record, tied with Alberta and Toronto.

In a special tie-breaker, Hudson's rink defeated Alberta 10-7 and Toronto 12-6 to claim the first Brier title for the province.