Green is located at 40°57'24" North, 81°28'52" West (40.956719, -81.481218).
According to the United States Census Bureau, the city has a total area of 33.53 mi2 (86.84 km2). 32.06 mi2 (83.03 km2) of it is land and 1.47 mi2 (3.81 km2) of it is covered by water. The total area is 4.39% water.
Green is located in the Eastern Standard Time (EST) timezone, GMT-05:00. It observes Daylight Saving Time (DST).