Francis B. Gouldman (June 17, 1907 – May 1, 1991) was an American politician, lawyer and judge from the U.S. state of Virginia. A member of the Democratic Party, and the Byrd Organization, he served as a member of the Virginia House of Delegates from 1952 to 1964, representing his native Fredericksburg, Virginia and Spotsylvania County. A year after he was defeated in the 1963 Democratic primary to retain his part-time office as delegate, Gouldman was elected a judge of the first Juvenile and Domestic Relations court in Virginia, and served until 1977.