Sengupta will begin his new role on 3 November, and will be responsible for overseeing accounts including GE Money Wizard, PlayStation and Polaris.
Sengupta said: "The brands here are all terrific names. So the gods and clients willing, we will produce advertising that's equally terrific."
Shiv Sethuraman, the chief executive of TBWA\India, said: "I am delighted that Rahul is joining the team. He is talented, ambitious and we have very similar ideas about the kind of agency we would like to build."