An election to the Carmarthen Rural District Council in Wales was held on 5 April 1937.
As was usual in rural Wales during the inter-war period, the election was largely fought on a non-political basis.
[2] Gwilym Rees, who had won the Llanddarog ward for Labour in 1934 was also returned unopposed.
The first election to the enlarged council, following the amlagmation of Whitland RDC provided few surprises.
The most noted result was the defeat of Hannah Mary Rees, the only woman member, at Whitland.