The hosts began the day at a solid 103 for two but were all out for 272 as spinner Perveez Rasool claimed seven wickets at the expense of 87 runs.
Tripura's overnight batsmen Abhijit Dey (63), Kaushal Acharjee (35) began cautiously and had extended their partnership to 78 runs but Rasool dismissed both in a gap of four overs.
After that skipper Yogesh Takawale (28) and Manisankar Murasingh (37) resisted the J&K attack for some time but eventually they were bundled out for 272 runs on the board.
The visitors then lost Adil Rishi (1) and Ian Dev Singh (9) cheaply but Bandeep Singh (37) and Perveez Rasool (35) batted well after that and easily drew the game.
