What is the limit for filing an appeal to the Supreme Court against a High Court judgement under the…

The BNSS gives the right of appeal to the Supreme Court (for example under section 420, formerly section 379 CrPC) but does not itself fix the time. The period is fixed by Order XX Rule 1 of the Supreme Court Rules, 2013: a criminal appeal must be lodged "within sixty days from the date of the Judgment, final order or sentence appealed from", excluding the time taken to obtain a copy, and the Court may extend the time for sufficient cause.

Ninety days is the period for a petition for special leave to appeal under Article 136, and thirty days is not the period for appeals to the Supreme Court. There is a time limit, though it can be extended.