Labour had increased their majority by taking up 15 of the 19 aldermanic seats following the previous two elections.
Of the contests that took place, the most heated was in Llanarthney, where Labour Alderman Edgar Lewis, a member of the authority since 1931 (and who had not faced a contested election since the 1930s) was opposed by Ratepayer Austin Griffiths, a retired colonial officer who had captured the seat at a by-election.
Burgess, who had won the seat by a narrow margin at the previous election, had left the Labour group shortly before the election, but narrowly held the seat against another labour candidate.
[2] Burgess had been elected as a Labour candidate in 1961 In addition to the 59 councillors the council consisted of 19 county aldermen.
Aldermen were elected by the council, and served a six-year term.