Luccombe or Luckham is a village and civil parish in the Exmoor National Park in the English county of Somerset. It at the foot of the moor's highest hill, the 1,750 feet (533 m) Dunkery Beacon, and is about one mile south of the A39 road between Porlock and Minehead. The parish includes the hamlets of Stoke Pero and Horner, as well as the former hamlet of Wilmersham.

The name Luccombe is believed to mean either Lufa's valley or valley where the counting was done. Locumbe in the 1086 Domesday Book.

There is evidence of Iron Age field systems on the top of Great Hill, and the Sweetworthy Iron Age hill fort.

At the time of the Domesday Book in 1086 East Luccombe was held by Ralph de Limesy passing by the 13th century to the Luccombe family, and later to the Arundell family. Along with West Luccombe these passed to the Acland family.

Luccombe was part of the hundred of Carhampton.

In 1944 Sir Richard Acland gave the Holnicote Estate, which includes Luccombe, to the National Trust.

In 1944 Luccombe was the subject of a study by Mass-Observation: the only entirely rural project the government-funded social research organisation ever conducted. The results were later published in W.J. Turner's 1947 book, Exmoor Village. The village at the time was reported to comprise 24 cottages, with 51 adults and 23 children living in them.

Luccombe used to be the location of the annual St Albans Cathedral Choir Camp, which celebrated its 50th anniversary in 2008.