Forrest Howard Anderson was an American politician and judge who served as the 17th governor of Montana from 1969 to 1973.

Anderson was a Democrat. He served in the Montana House of Representatives from 1943 to 1945. He was a Lewis and Clark County Attorney from 1945 to 1947, an Associate Justice on the Montana Supreme Court from 1953 to 1957, a delegate to the 1956 Democratic National Convention, and Montana Attorney General from 1957 to 1968.

Elected as Governor of Montana in 1968, Anderson was sworn in on January 6, 1969, and he was in office until January 1, 1973. During his tenure, he combined more than one hundred state agencies into nineteen departments, and authorized the 1972 Constitutional Convention and implemented the new constitution once it was ratified.