New Trinidadian recruit Carlyle Mitchell (75' and 90+3') headed in twice to see his side maintain top spot after their opening day victory over the weekend.
The Red and Gold displayed an unconvincing performance in the first half of the match failing to create a single goal scoring opportunity. Credit must be given to the opponent defenders who were rock solid.
Customs could have taken the lead against all odds in the 58th. Sumit Ghosh's free-kick went above the cross bar.
Coach Khalid Jamil made his first change in the 67th minute introducing Cavin Lobo in place of Richard Costa to add more firepower in the attacking third.
The much needed goal came in 75th minute when Mitchell headed in Cavin Lobo's curling corner.
The defender further increased the lead in the dying moments of the match. Once again he headed in the ball from Lobo's free-kick.
East Bengal XI: Luis Barreto(GK)(C), Samad Ali Mallick, Gurwinder Singh, Carlyle Mitchell, Lalramchullova, Brandon Vanlalremdika, Mahmoud Al Amna, Richard Costa, Laldanmawia Ralte, VP Suhair, Willis Plaza.
Calcutta Customs XI: Priyant Singh(GK), Srikant Ghosh(C), Sourav Dasgupta, Samuel Kane, Somnath Aich, Sumit Ghosh, John Ampong, Dhiman Sinha, Sanchayan Samadder, Ujjal Howlader, Joseph Segun.