India became the first team to win their 250th overall Test and their 250th Test at home.
India beat New Zealand by 178 runs in the second test at Eden Gardens on Monday to take an unassailable 2-0 lead in the three-match series and reclaim top spot in the world rankings from Pakistan.
Chasing 376 for a victory on the fourth day, the touring side were all out for 197 in the final session.
Ravichandran Ashwin, Ravindra Jadeja and Mohammed Shami picked up three wickets each for India.
India also reclaim its 1st Rank in Test after winning this series.