On July 1, 1964, Farrar sought re-nomination as Attorney General. He was re-elected in the general election with 157,848 votes defeating Democrat William C. Grady who received 125,047. In the general election Farrar ran against Democrat Robert M. Swanson. Farrar won a third term with 141,734 votes to 79,670 for Swanson. With Farrar's election to a third term as Attorney there was much speculation that he would be the heir apparent for Republican Gubernatorial nomination in 1968. Elected Governor, he served in that capacity from January 7, 1969 to January 5, 1971.