Kleverskerke is a small village in the Dutch province of Zeeland. It is located in the municipality of Middelburg, about 4 kilometres north-east of the city centre.
The village was first mentioned in 1251 as Clawarskerke, and means "(private) church of Clawaert (person)". Kleverskerke used to be a free heerlijkheid (=no fief) and a castle was located near the village. Kleverskerke became an independent parish in 1251. The church dates from 1862.
Kleverskerke was home to 194 people in 1840. Kleverskerke was a separate municipality until 1857, when it was merged with Arnemuiden. In 1997, it became part of the municipality of Middelburg.