An election to the Llandeilo Rural District Council in Wales was held on 5 April 1937.
[1] It was preceded by the 1934 election but some wards had been contested in 1935 following the amalgamation of Llandovery RDC.
Independents continued to be the only candidates nominated in the rural wards; many of whom were returned unopposed.
Labour contested all of the industrial area wards and won the majority of them.
Labour lost two seats, at Glynamman and in the Llandeilo South Ward, where Robert Allan lost the seat he capturedvfrom long-standing member Thomas Morris three years earlier.