Joseph Martin Leeway is a British musician and songwriter, who is best known as being a member of the pop band Thompson Twins, joining the band in 1981 after being one of their roadies.

Thompson Twins were a British pop band, formed in 1977 in Sheffield. Initially a new wave group, they switched to a more mainstream pop sound and achieved considerable popularity during the early and mid-1980s, scoring a string of hits in the United Kingdom, the United States, and around the world. In 1993, they changed their name to Babble, to reflect their change in music from pop to dub-influenced chill-out. They continued as Babble until 1996, at which point the group permanently broke up.