Brace played for
Gowerton Grammar School before attending
University College, Oxford. He played for the
Oxford team in
The Varsity Matches in 1955 and 1956, being credited with responsibility for the win in 1955 and defeat in 1956. Brace played for Aberavon but moved to Newport after the club tried to play him in the unfamiliar role of outside-half to
Cliff Ashton. As a Newport player, Brace was chosen to face the touring
New Zealand in 1954. Brace later played for
Llanelli and captained the team during two seasons 1958/59 and 1960/61. He was one of 21 former Llanelli captains to parade in front of the supporters before the final match at Llanelli's first home ground,
Stradey Park. Brace made his international debut for Wales against England on 21 January 1956 in a game at the
Twickenham. Wales won the match 8–3, and Brace faced England's
Mike Smith, of whom he had made an excellent half-back partnership at Oxford University. Brace would play in all four matches of the
1956 Five Nations Championship which Wales won, losing only to Ireland in the tournament. Brace played nine games for Wales, and captained the country twice, on both occasions against Ireland in 1960 and 1961.
International matches played Wales • 1956, 1957 • 1956, 1960 • 1956, 1960, 1961 • 1956, 1960 ==Broadcasting career==