Arthur Griswold Crane (September 1, 1877 – August 11, 1955) was an American teacher and politician.

Born in New York City, Crane attended Carleton College and Teachers College, Columbia University, earning his PhD in 1920 from Columbia University.

He was elected Secretary of State in Wyoming in 1946, and when Lester C. Hunt resigned as Governor of Wyoming on January 3, 1949, Crane stepped up to take his place until Frank A. Barrett was elected in 1950.

During his brief tenure, Crane supported construction of the Wyoming Home and Hospital for the Aged.

After retiring from politics, Crane returned to his roots, remaining active in the field of education.