Team Logo. The Tampa Tarpons are a team in the Florida State League. They are the High-A affiliate of the New York Yankees. They take their name from the original Tampa Tarpons, who played in the league for decades. Retrieved from "https://prosportsteams.fandom.com/wiki/Tampa_Tarpons_(2018)?oldid=15411" Categories: Florida State League teams Teams in Florida Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.