East Greenbush is a town in Rensselaer County, New York, USA. The population was 15,560 at the 2000 census. The name is derived from the Dutch 'Green Bosch,' referring to the pine woods in the area. East Greenbush apartments for rent comparison page shows most up to date rent information on East Greenbush apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.