Alexander Smith Johnson (July 30, 1817 – January 26, 1878) was a Judge and Chief Judge of the New York Court of Appeals and was a United States circuit judge of the United States Circuit Courts for the Second Circuit. Johnson received a recess appointment from Ulysses Grant on October 25, 1875, to a seat vacated by Lewis Bartholomew Woodruff. Nominated on December 15, 1875; He was confirmed by the United States Senate on December 15, 1875, and received commission the same day. Johnson's service was terminated on January 26, 1878, due to death.