For Kuwait SC, Issam Jemaa struck twice in the 18th and 33rd minutes while Waleed Ali Jumah and Chedi Hammami scored a goal apiece in the 31st and 48th minutes respectively.
Uga Okpara and Lalrindika Ralte scored for East Bengal in the 66th and 87th minute respectively.
The second leg between the two sides will be played in Kolkata on October 22.