Fyodor Vasilevich Shutkov (Russian: Фёдор Васильевич Шутков; 15 February 1924 – 18 December 2001) was a Russian sailor who competed for the Soviet Union in the Summer Olympics of 1952, 1956, 1960, 1964, and 1968.
He first competed in the 1952 6-metre class competition, as crew member of the Soviet boat Circe which finished eleventh. His subsequent Olympic competition was in the Star class as crew member, each time with Timir Pinegin as skipper.