The first election to the council was held in 1973, initially operating as a shadow authority before coming into its powers on 1 April 1974. A majority of the seats on the council were held by independents throughout the council's existence.[4]
The most significant political grouping (as distinct from the independents) was the Labour Party who held a number of seats in Carmarthen Town and the former mining wards of the Gwendraeth Valley.
Throughout its existence, the council was based at 3 Spilman Street in Carmarthen, which had previously been the offices of Carmarthen Rural District Council, one of its predecessor authorities.[5][6][7]