Beswick is best known for her two appearances in the James Bond film series. Although she auditioned for the first Bond film Dr. No, she was cast in the second film From Russia with Love as the fiery gypsy girl, Zora. She engaged in the famous "catfight" scene with her rival Vida (played by former Miss IsraelAliza Gur). She was incorrectly billed as "Martin Beswick" in the title sequence. Beswick then appeared as the ill-fated Paula Caplan in Thunderball. She had been away from the Caribbean so long that she was required to sunbathe constantly for two weeks before filming, in order to look like a local.
Beswick's career was active well into the 1990s. In recent years, she has mainly participated in film documentaries, providing commentary and relating her experiences on the many films she has appeared in. She owned a removals business in London, but is now semi-retired except for her guest appearances at international Bond conventions.
In April 2013 she was one of 12 Bond Girl celebrity guests in an episode of the BBC's Masterchef.
Beginning with Melvin and Howard in 1980, she changed the spelling of her last name to "Beswicke," but reverted to her original name in the mid-'90s; her last credit with the longer spelling is Wide Sargasso Sea in 1993.