In 1965 the club was renamed London Borough of Greenwich following a change of London Borough boundaries. The club won a seventh South London Alliance Premier Division title in 1974, and in 1977 they moved up to the Senior Division of the London Spartan League. They won the Senior Division in 1979–80, earning promotion to the Premier Division. At the end of the season the club adopted its current name. In 1982–83 the club won the league's Senior Cup. In 1984 they transferred to the Kent League. They won the League Cup in their first season in the league, before going on to win back-to-back league titles in 1986–87 and 1987–88, as well as winning the League Cup for a second time in 1986–87. However, they were prevented from being promoted to the Southern League when the council refused planning permission for the necessary ground improvements.