The State University of New York at Delhi, partially within the village limits, is located southwest of the town hall.

The Delaware County Courthouse Square District, First Presbyterian Church, St. John's Church Complex, and United States Post Office are listed on the National Register of Historic Places.

New York State Route 10 passes through the village as it follows the valley of the West Branch Delaware River, leading northeast 20 miles (32 km) to Stamford and southwest 16 miles (26 km) to Walton.

The West Branch Delaware River flows through the village from northeast to southwest.

Delhi is the setting for the award-winning children's book My Side of the Mountain.