Wilson was born in New York City, the son of Dana (née Natol) and actor Lewis Wilson. His father was the first actor to play the DC Comics character Batman in live action, which he did in the 1943 film serial Batman. He is the stepson of the late James Bond producer Albert R. Broccoli and half brother to Bond co-producer, Barbara Broccoli. Wilson graduated from Harvey Mudd College in 1963 as an electrical engineer. He later studied law at Stanford. After graduating, Wilson worked for the United States government and later a firm located in Washington D.C. that specialized in international law.
In 1972, Wilson joined Eon Productions, the production company responsible for the James Bond film series dating back to 1962 that began with his stepfather Albert R. 'Cubby' Broccoli and Harry Saltzman. Wilson specifically worked in Eon Productions' legal department until taking a more active role as an assistant to Cubby Broccoli for the film The Spy Who Loved Me (1977). In 1979 Wilson became executive producer of the film Moonraker and since has been an executive producer or producer in every James Bond film, currently co-producing with his half-sister Barbara.