It is the first medal for Vietnam in men’s gymnastics at the Asian level.
Tùng overcame strong rivals to top the podium, winning his second title of the year.
He won the first title at the Qatar World Cup in March.
Athletes from the Republic of Korea and Japan came second and third, respectively.
Later, Đinh Phương Thành pocketed a bronze on the men’s parallel bars.
Chinese Zou Jingyuan topped the podium and North Korean Han Jong Ryok finished second.
With one gold and one silver, Vietnam was placed third in the overall medals tally.
China dominated the championship with 11 gold and eight silver medals. Japan came second with two gold medals and a bronze