On October 16, 1887, in Brooklyn, New York, he married Alice Stead of London, England, with whom he had four children: Dorothy, Helen (whose husband, Allan Kitchel, succeeded Binney as president of Binney & Smith), Mary, and Edwin Jr. Binney enjoyed spending time in the state of Florida, where he owned large orange groves in St. Lucie County. He was an important force in the opening of the east coast port of Ft. Pierce in 1930. He enjoyed deep sea cruising, fishing, hunting, and designing sail and motor boats.