In 1963 the present AWBL – Austrian Women's Basketball Bundesliga was founded, were the ladies of the Union Kuenring from the outset title candidates. As early as 1966, and in consequence until 1969 the championship was achieved. This success was repeated in the 19 subsequent seasons. From 1970 to 1986 Union Kuenring played with two teams in the Bundesliga. 1988 jumped from the main sponsor and the club had to for a short time from the Bundesliga withdraw. 1997 returned a very young, constructed from their own offspring, women's team back in the Bundesliga. The only team that played without Legionnaire inner space 4 has been reached immediately. In 1999 in addition to the Bundesliga team also Wiener division was heavily promoted, were being recovered in follow some championships.
Austrian Women's League
- Winners (17): 1966–67, 1967–68, 1968–69, 1969–70, 1970–71, 1971–72, 1972–73, 1973–74, 1974–75, 1975–76, 1976–77, 1979–80, 1980–81, 1981–82, 1982–83, 1983–84, 1984–85