Henry Adoniram Swift (March 23, 1823 – February 25, 1869) was an American politician who was the 3rd Governor of Minnesota. He served as Governor from July 10, 1863 to January 11, 1864 after serving as the Lieutenant Governor of Minnesota when Governor Alexander Ramsey resigned to enter the United States Congress. Swift was a Republican.

Swift County, Minnesota was named after him in 1870.