The IndiGo flight, which took off from Chandigarh, damaged some runway lights while landing Sunday, the Press Trust of India said.
The pilot of the aircraft was called for questioning, officials said, and a preliminary report on the incident is expected to be filed soon.
The airline said in a statement that the plane went off the runway due to a sudden gust of wind.
The airport's main runway was closed for almost two hours for the repair of the lights and a clearing of the air, the Press Trust reported.
Flights were delayed as a result by 30 to 40 minutes.