Team Logo. The Washington Darts were a team in the North American Soccer League (1968-1984). They previously played in the American Soccer League. In 1971 they moved to Florida and became the Miami Gatos. Retrieved from "https://prosportsteams.fandom.com/wiki/Washington_Darts?oldid=11608" Categories: NASL (1968-1984) Teams Teams in Washington DC Community content is available under CC-BY-SA unless otherwise noted.