The teams will open their campaign in the Border-Gavaskar Trophy with the first Test in Pune from February 23 to 27. The series will then move to Bengaluru, which will host the second game from March 4-8.
The last two matches will be played in the two new Test centres — Ranchi and Dharamsala — from March 16-20 and March 25-29 respectively.
Australia were whitewashed 4-0 by India in their last tour of the country.
The three centres which had hosted One-day Internationals and T20 Internationals in the past – were accorded Test status last November.
The allocation of matches to new centres is aimed at restoring the rotation policy for Tests. India are scheduled to play 13 Tests, 8 ODIs and three T20Is in the current home season.