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is a city in Rensselaer County, New York, U.S., located on the Hudson River, directly opposite Albany. As of the 2000 census, the city population was 7,761; in 1920, it was 10,832. The name is from Kiliaen Van Rensselaer, the original landowner of the region in New Netherland.
The area was part of the Rensselaerwyck manor.
. The village of Greenbush within the Town of Greenbush was incorporated in 1815. In 1897, Greenbush was chartered as a city, and its name was changed to Rensselaer. Its limits were extended in 1902 by the annexation of the village of Bath and the western part of the Town of East Greenbush. In 1932 the Port of Albany-Rensselaer was built, mostly in neighboring Albany, but also with 35 acres in the southern part of Rensselaer. This part of Rensselaer has been industrial for over 300 years.