Having scored in a Home Scots v Anglo-Scots international trial match, Orr was selected to make his Scotland debut on 3 May 1902 in a British Home Championship match against England, and he scored to put his side two goals up in an eventual 2–2 draw; like his debut goal for Liverpool, it was at Villa Park (this match was replayed from the original fixture at Ibrox Park, where a stand collapsed, killing 25 spectators and injuring hundreds). His second and last cap was also against England two years later, this time a 1–0 defeat.