An election to the Carmarthenshire County Council was held in April 1964. It was preceded by the 1961 election and followed by the 1967 election.
As in previous years there was a close run election. Labour had increased their majority by taking up 15 of the 19 aldermanic seats following the previous two elections.
There were no boundary changes at this election.
The aldermen who retired at the election were ... A number of retiring Labour councillors stood down to allow retiring aldermen to be returned unopposed.
A large number of members were again returned unopposed.
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.
This section summarises the detailed results which are noted in the following sections. This table summarises the result of the elections in all wards. 59 councillors were elected.
Labour had won the seat in a by-election the previous October.
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. Following the elections, the majority of the aldermanic setas were taken by Labour.