An election was held for the Nevis Local Council in December 1979. The Nevis Reformation Party (NRP) retained control of the council after again winning all nine seats.
The previous council election in 1975 saw the NRP win all nine seats in an uncontested election, with no other parties standing. Continued calls from the NRP and Nevisians for Nevis' secession from Saint Kitts led to an unofficial referendum being held on the issue in 1977, with the 99.7% vote in favour of secession being unrecognised and rejected by the central government. In the 1979 local council election, the Saint Kitts-Nevis-Anguilla Labour Party stood candidates against the NRP, which was the only time Labour ever directly contested a local election in Nevis.
The result was a landslide for the NRP, who won all nine seats and strongly defeated Labour, with Labour winning just 300 votes and no seats. Voter turnout was 65.7%. NRP leader Simeon Daniel continued to serve as Chairman of the Local Council until 1980.