Sahal Samad opened the scoring for the visitors in the 23rd minute but Bradric's men responded strongly in the second half and scored in the 48th minute as Vincy Barretto smashed the ball home from close range.
Sahal Abdul Samad had put the Blasters in front in the first half before Vincy Barreto returned to score against his former club with an equaliser in the second.
This rivalry between the two clubs is significant as Ivan Vukomanovic's side are looking to break another unpleasant record of not winning a game at the Marina Arena.
Riding on Abdenasser El Khayati's sensational hat-trick and Petar Sliskovic's two goals, Chennaiyin beat NorthEast United FC 7-3 quite comprehensively last week.
Sunil Chhetri got off the mark this season for the Blues, and Javi Hernandez scored his third goal of the season but Bengaluru FC fell to their sixth defeat of the season.
The Blasters have won four of their past five ISL games, while the Blues have dropped five of their last six, so it will be a battle of contrasting teams. Kerala will look to continue its winning run while Bengaluru FC will look to return to winning ways.
A first half strike from Dimitrios Diamantakos resulted in a fourth straight win for KBFC, while hosts Jamshedpur FC slumped to their fifth straight defeat.
The Gaurs, who went into the game having won 3 out of their 4 games couldn't continue their fine run as two late first-half goals took the wind out of them before a third at the beginning of the second made this a task too tall for Carlos Pena's team to overcome.