Soonsup-Bell has a strong football background, having played for England's youth teams from the U15s to the U19s. He also made his debut for Chelsea as a teenager.
The striker has signed a 12-month contract with Grimsby, with the option to extend it for another year.
Grimsby's manager, David Artell, is pleased with the signing, saying that Soonsup-Bell is an exciting talent with a great football pedigree. He believes that the player will add competition to the forward line and is excited to work with him.