Quynh competed in the women's 75kg class semi-finals and failed to overcome Li Qian of the hosts.
Li was a tough rival to any athlete as she won the world championship in 2018 and the Asian championship in 2019. She finished second in the 2020 Tokyo Olympics.
"It is my first time in an Asian Games and I earned the first bronze for the boxing team. I am really happy and proud," said Quynh.
"Coming to this event, I considered each match a final. I tried my best every game because the more I competed the stronger rival I met.
"Li was really strong and experienced much more than me. I competed comfortably without any worry. So I am pleased with my performance and result," he said.
Heach coach Nguyen Nhu Cuong praised his athlete's effort and said her bronze was really valuable to the Vietnamese boxing team.
The team attended the Games with nine athletes, but only Quynh achieved a medal.
The continental arena was huge and Vietnamese athletes tried their best. Quynh's bronze medal helped the team complete its Games target.
In other news, Viet Nam ensured at least one silver medal as the sepak takraw (rattan ball kicking) team secured a slot in the final of the women's quadrant (team of four) event.
Viet Nam, the world champions, easily defeated China 2-0 in the first semi-finals to play Indonesia, which overcame Laos 2-0 in the other semis, in the gold-medal match.
It will be a rematch of the two teams as they already competed with each other in the group round match. Viet Nam won 2-1.
In badminton, national No 1 Nguyen Thuy Linh beat Mahoor Shahzad of Pakistan 2-0 in a 23-minute match of the women's singles, first round.
She will next play Ongbamrungphan Busanan of Thailand in the round of 16.
In chess, both men's and women's teams of Viet Nam won on October 3 at the Hangzhou Qi-Yuan Chess Hall.
The women's side won over Indonesia while the men's squad defeated Kyrgyzstan.
After 10 days of competitions, Viet Nam have pocketed one gold, three silvers and 14 bronze to rank at No 20./.