Bushnell was born in Rome, New York. A business executive, Bushnell served as the Ohio State Republican Party Chair in 1885. He succeeded William McKinley as governor, serving two two-year terms from 1896-1900.
Asa Smith Bushnell, two times Governor of the State of Ohio, was of the eighth generation of his family in the United States.
Bushnell was a life-long Republican and early in his career he took an active interest in political matters, keeping a close touch with the thought of the day.
Bushnell was nominated for governor by the Republicans, though he had not been a candidate and his name had not been formally presented to the convention.