Sutton Veny is a village and civil parish in the Wylye valley, to the southeast of the town of Warminster in Wiltshire, England; the village is about 3 miles (5 km) from Warminster town centre. 'Sutton' means 'south farmstead' in relation to Norton Bavant, one mile (1.6 km) to the north. 'Veny' may be a French family name or may describe the village's fenny situation.

The River Wylye is a chalk stream in the south of England, with clear water flowing over gravel. It is popular with anglers for fly fishing. A half-mile stretch of the river and three lakes in Warminster are a local nature reserve.