The trio will continue till 2019 World Cup. The post of Head Coach had fallen vacant after Anil Kumble resigned following an alleged tiff with Virat Kohli.
The other contenders for the post included Virender Sehwag, Tom Moody, Lalchand Rajput, Phil Simmons and Richard Pybus.
As per reports, Shastri was being backed by skipper Virat Kohli. Last year, Ravi Shastri was also in fray to become the coach but was pipped by Anil Kumble.
Shastri’s first assignment will be the Sri Lankan tour.