Yeats won both his full caps for Scotland during the three seasons when the Liverpool team of the 1960s were at their peak. The first came on 3 October 1964 in a 3–2 defeat to Wales at Ninian Park Cardiff. His second was a year later in December 1965 in a world cup qualification decider away to Italy. The Scots had beaten the Italians 1–0 at Hampden Park. However Jock Stein's side missing the absent Denis Law went out when losing 3–0 in Naples.