Nash died at Baltimore's Johns Hopkins Hospital on May 19, 1971, from Crohn's disease aggravated by a lactobacillus infection transmitted by improperly prepared coleslaw. He is buried in East Side Cemetery in North Hampton, New Hampshire.
A biography, Ogden Nash: the Life and Work of America's Laureate of Light Verse, was written by Douglas M. Parker, published in 2005 and in paperback in 2007. The book was written with the cooperation of the Nash family, and quotes extensively from Nash's personal correspondence as well as his poetry.
His daughter Isabel was married to noted photographer Fred Eberstadt, and his granddaughter, Fernanda Eberstadt, is an acclaimed author. Nash had one other daughter, Linell Nash Smith.