Krishna, who had scored ATKMB’s lone goal against Kerala Blasters in their campaign opener, struck in the 49th minute before Manvir Singh killed the contest in the 85th minute with a solo effort.
With two wins on the trot, ATK Mohun Bagan are leading the table with six points, followed by Northeast United FC.
It was a typical Antonio Lopez Habas’ style of play that panned out on the field as ATKMB were slow to get off the blocks before taking control of the game.
Their defence, helmed by Tiri, put up a disciplined show to return with a clean slate for their second successive match.
For Liverpool legend Robbie Fowler, who built the SC East Bengal in less than a month’s time, it was a disappointing start to his coaching stint in India as he was let down badly by his striker up front.
As the sole striker, Balwant Singh was wayward up front and missed a sitter at the hour mark when he blasted over the bar just in front of the net.
They had the better ball possession but looked thin up front, leaving too much to do for their vice captain and former Norwich City winger Anthony Pilkington.
The red-and-gold brigade wore black armbands in memory of the Argentine legend Diego Maradona who died of heart attack on Wednesday.
Before the kickoff, both the teams observed one minute’s silence in honour of Indian football stalwarts P K Banerjee and Chuni Goswami who died this year.