The business, set up by barrister-turned-restaurateur Nisha Katona, will open the 200-cover restaurant at the new restaurant and cafe hub later this summer.
Mowgli's menu is built around the idea of "chat", small plates of home-grown dishes with fresh clean flavours at the heart of each one.
Its Manchester launch follows the opening of the company's first site in Liverpool last October.
Katona said: “I’m delighted to be opening our second Mowgli venture in Manchester and feel very excited to be occupying space in one of the city’s most historic and recognisable landmarks.
“Manchester is a melting pot of different cultures, ideas, philosophies and flavours, and our aim is to take guests on a journey of amazing, authentic food, and fully immerse them in true Indian culture.”
Mowgli will join a host of restaurant brands opening within the Grade II listed building, which has been transformed into a dining hub by Aviva Investors Property Trust and Queensberry Real Estate.
Other restaurants opening include Wahaca, Pho, Vapiano, The Cosy Club and Cabana.
Stuart Harris of Queensberry Real Estates, said: “Our vision is to create a mix of restaurants both regional and national whose offer complements and embraces this beautiful building. Mowgli is an exciting new operator that will add an extra element to the scheme and is sure to enhance the current line-up.”