India clinched a series victory in Australia for the first time.
The 2-1 series win was confirmed when the fifth day of the fourth Test in Sydney was drawn after being washed out by rain.
India captain Virat Kohli said: "I've never been more proud of being part of a team.
"By far, this is my biggest achievement. The series win will give us a different identity."
"It's a proud moment. More so because for the last 12 months we understand what we have gone through as a team.
"The fact that the reward has come in the most historic series for Indian cricket is the cherry on the top of the cake.
"In the 10 years that I have played, it is the proudest moment that I have experienced and we're so happy for the whole team.
"It is a young bunch of guys and to have that belief to keep striving for excellence on a daily basis and to get a reward like this we definitely have to be happy."
He added: "We definitely want to build on this and always promote the message of Test cricket being the most important and the most valued format of the game, which it rightfully is.
"From where I see it, this is our vision for Indian cricket."