Praise be to Allaah.
If the bank you mention is based on riba (interest, usury), then it is not permitted to work in it, because of the hadeeth narrated by Jaabir, who said: The Messenger of Allaah (peace and blessings of Allaah be upon him) cursed the one who consumes riba, the one who gives it, the one who writes it down and the ones who witness it. He said: They are all the same.(Reported by Muslim in his Saheeh, 2995). We ask Allaah to compensate you with something better.