Newbury, Ohio experiences a humid continental climate with four distinct seasons. Summers are warm and humid with average temperatures ranging from the 70s to low 80s °F (20-28 °C), while winters are cold with average temperatures in the 20s to low 30s °F (-6 to 0 °C). Precipitation is evenly distributed throughout the year, with snowfall common during winter months.

Situated in Geauga County, Newbury benefits from various water bodies, including the Grand River and Punderson Lake. The hydrology constituents consist of freshwater, supporting diverse aquatic life and recreational activities such as fishing, boating, and swimming.

Outdoor enthusiasts can enjoy numerous recreational opportunities in Newbury. Punderson State Park offers hiking trails, camping grounds, and a scenic lake for boating and fishing. The nearby Cuyahoga Valley National Park provides additional opportunities for outdoor activities including biking, horseback riding, and birdwatching.