Fram's best season came in 1981–1982 when the team won the Icelandic cup and finished second in the Úrvalsdeild.

Note: Flags indicate national team eligibility at FIBA-sanctioned events.

To appear in this section a player must have either: Fram's women's basketball department was founded in March 1971.

The club fielded a women's senior team in the Icelandic tournament for the first and only time during the 1976–77 season.

The team folded after the annual Reykjavík Basketball Tournament in the fall of 1977.