Joe Conway (December 3, 1898 – November 9, 1945) was an American politician who served as the Attorney General of Arizona from 1937 to 1944.
While in law school, Conway worked in the inning industry and for the newspapers in Tucson.
During his first term, he attracted national attention by threatening to seize all of the assets of the Phelps Dodge Corporation, Arizona's largest mining company.
He held the post until 1944 when he decided to run for the U.S. Senate against the democratic incumbent Carl Hayden.
His body was buried at Greenwood Memory Lawn Cemetery in Phoenix, Arizona.