Hanna Zboroń six times participated in Polish Youth Chess Championships (1968–1974) and the best result was achieved in 1971, when she took 6th place in U20 girls age group.
[1] In Polish Women's Chess Championship finals she played ten times (1976–1988) and reached 6th place in 1979.
[4] In 1979, in Kalisz Hanna Zboroń achieved the other success in her career, won silver medal in Polish Women's Blitz Chess Championship.
[5] Also she won four medals in Polish Women's Team Blitz Chess Championships: 2 gold (1982, 1991), silver (1985) and bronze (1983).
[6] Hanna Zboroń reached her career highest rating on 1 January 1994, with a score of 2120 points.