Nelson Beach Greene was an American artist and editor. His mother was Annie Lydia Beach. His father, Horace Lester Greene, was owner of the Mohawk Valley Register in Fort Plain. Nelson Greene went to New York City in 1887, where he studied art at the Arts Students League. After his father's death 1891 he helped his mother to manage the Register. In 1906 he married the artist Lillian Currier Steinert.
Many of his drawings appeared in Puck (magazine). He edited numerous publications on the history of the Mohawk Valley, amongst them The Old Mohawk Turnpike Book (1924) and the History of the Mohawk Valley: Gateway to the West 1614-1925 (1925). He was editor of the Fort Plain Standard from 1922 to 1939.