Replying to Assam's first-innings total of 354, Himachal Pradesh were 316 for five when stumps were drawn for the final time at the end of fourth day's play.
Since the hosts could not bowl out Himachal, Assam had to be content with a point.
Struggling at 173 for five at one stage, Himachal were saved by Rishi Dhawan's unbeaten knock of 114, and his 143-run sixth-wicket partnership with Aatish Bhalaik, who remained unbeaten on 57 at the Nehru Stadium.
Dhawan slammed 15 fours and a six during his 165-ball knock, while wicketkeeper-batsman Bhalik found the fence eight times.
Brief scores:
Assam 1st innings: 354 all out in 117.5 overs
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Himachal Pradesh 1st innings: 316 for five in 124 overs (Dhawan not out 114).
Points: Assam 1, Himachal 1.