Conway impressed immensely in the opening rounds securing three straight wins by ippon, including over world champion Gevrise Emane of France, to reach the semi-finals.
The 29-year-old, from Bristol, gave a good account of herself against Yuri Alvear of Colombia in the semi-final but lost by waza-ari before quickly returning to battle for bronze.
Conway wasn’t going to waste her second medal opportunity and defeated Bernadette Graf of Austria by one yuko to claim bronze on her second Olympic outing.
Her medal was one of four for Team GB in a short space of time with shooter Steve Scott also winning bronze and Joe Clarke taking gold in the canoe slalom and Jack Laugher and Chris Mears following suit in the diving.
Photo credit: Mike Varey | Elitepix