Melincourt Falls (Welsh: Sgwd Rhyd yr Hesg) is an 80-foot (24 m) waterfall on Melin Court Brook, a left-bank tributary of the River Neath, located about a mile south of Resolven in Neath Port Talbot, south Wales.

The brook plunges over a resistant band of Lower Pennant Sandstone within a 13-acre nature reserve managed by the Wildlife Trust of South and West Wales.

A second, smaller unnamed waterfall fed by a tributary lies just to the south and is most visible after heavy rain. The falls have drawn visitors for at least two centuries — J. M. W. Turner sketched them in 1794.

A well-maintained, fairly level path leads from a roadside car park to the gorge, with a round trip of roughly 30 minutes. Visitors should take care near unguarded drops and slippery rocks.