Greene Village Hall is located at 49 Genesee Street, Greene NY 13778.
The village of Greene is laid out in an irregular gird pattern with its main north-south street, Chenango Street, running roughly parallel to the Chenango River which flows southwest through the town. The main east-west street, Genesee Street, originally formed a part of the Catskill-Bath Turnpike; now this section is New York State Route 206. A modest country road on either side of the village, climbing the hills which frame the Chenango Valley, Genesee Street is straight and wide in the village proper. Immediately west of the bridge crossing the Chenango River, the street widens to a broad boulevard, encircling a small memorial park. The commercial heart of the village occupies two blocks of this broad avenue and a short half-block south on Chenango Street. Chenango Street, which crosses Genesee Street 1-1/2 blocks west of the river, is primarily a residential street, and was historically the village's main north-south route. One block west is another north-south street, Canal Street, which ran just to the west of the Chenango Canal as it traversed the village. The narrow land between Jackson Street and Genesee Street known as Driscall Avenue is situated on the old canal tow path. Tiny Birdsall Brook, which crosses Chenango and Canal Streets some three blocks north of Genesee Street, marks the northernmost edge of the Village of Greene Historic District.