An election to Carmarthen District Council was held in May 1976.[1] It was preceded by the 1973 election and followed by the 1979 election. On the same day there were elections to the other District local authorities and community councils in Wales.
The overwhelming majority of seats were held by Independent candidates. Several Labour candidates were returned but all five Plaid Cymru candidates were defeated. The vice chairman of the authority, Glyn Howell, was defeated by another Independent at Newcastle Emlyn.[2]