Price played as a prop in a record 12 successive tests for the British and Irish Lions, touring New Zealand in 1977. The front line in that tour was dominated by the "Viet Gwent" players, including Price. During a test match against Australia, he suffered a broken jaw after a punch by Steve Finanne. Price had to eat liquidised food for six weeks, and wore dentures for the following 40 years until replaced by implants in 2015. He returned for the South Africa in 1980 and made his final international appearances in the New Zealand in 1983 at the age of 31. He had played in every match of all three tours. His record of 12 appearances for a prop for the British and Irish Lions is not expected to be broken.