Gresham is a village and civil parish in North Norfolk, England, five miles (8 km) south-west of Cromer.
A predominantly rural parish, Gresham centres on its medieval church of All Saints. The village also once had a square 14th century castle, a watermill and a windmill. The moat and some ruins of the castle survive.
The name of Gresham is derived from a local stream known as the Gur Beck, plus -ham, meaning a settlement.
In the Domesday Book of 1086, Gresham is recorded as one of the holdings of William de Warenne, 1st Earl of Surrey.