The Club won an appeal for a work permit for Bain earlier this summer after the striker impressed Manager John Barnes while on international duty.
The 27-year old is an international team mate of Blackburn Rovers striker Jason Roberts and the first
Barnes said: "Kithson is a strong, quick striker and I'm pleased to be able to bring him to the Club.
"He was the top scorer in the Caribbean Cup with six goals when I was manager of
"He will add another dimension to our attacking options and I look forward to working with him."
Kithson will be available for Saturday's home game against
Source: Tranmore Rovers FC