A three-member committee, headed by Vice President Hamid Ansari, had cleared his name for the post of the CEO of Prasar Bharati for a period of five years, an official statement said.
Vempati previously worked with Infosys and now heads an online media company.
Information and Broadcasting Minister M Venkaiah Naidu tweeted congratulating Vempati on his appointment.
He hoped that the public broadcaster will scale new heights under his leadership.
An alumnus of IIT-Bombay, Vempati has over two decades of experience as a technocrat with specialisation in areas of corporate management, technology consulting and digital media.