Delphi Falls is a hamlet in the town of Pompey, Onondaga County, New York, United States. There is a current population of 992. It was a prosperous town in the early 19th century. Businesses included a cheese factory, an evaporated milk production facility and a tannery. Union Major General Henry Warner Slocum, an 1852 graduate of the United States Military Academy, and Civil War corps commander, was born near Delphi Falls. Delphi Falls is located southeast of the hamlet.