Central Bridge is a hamlet and census-designated place within the towns of Schoharie and Esperance in Schoharie County, New York, United States. As of the 2020 census, the population was 740.Central Bridge is in northeastern Schoharie County, in the northwestern part of the town of Schoharie and the southwestern section of Esperance. It is in the valley of Cobleskill Creek where it joins Schoharie Creek, a northward-flowing tributary of the Mohawk River.