Narrative:

Arrived at the aircraft. I did the walk around after briefing the flight attendants. Nothing unusual was noted on the walk around. The preflight; taxi; takeoff; cruise; and approach were normal; with absolutely nothing unusual happening. The arrival was flown to a visual approach to den runway 16L; flaps 30 ; auto brakes 2; reference 146; tgt 151; winds were southwest at 7 knots. The approach was stable. Touchdown was about 1500-2000 ft. Down and smooth; the rollout was unremarkable. Full reverse; auto braking; and then manual braking were used in a normal way. We turned off at F4. Everything about the flight was normal to this point.after we started to taxi south on foxtrot; I noticed the airplane pulling very slightly to the left. It was not a lot; just a little. There were no other unusual indications. I showed the first officer (first officer) what I was feeling. It really wasn't a big pull; and there were no other indications; but I thought we should write it up; since we felt nothing while taxiing in [departure]. We sent a [report] while taxiing. Shutdown #2 engine after turning on taxiway bs. Everything else was normal until we turned toward the lead in line. There was a sudden very loud bang; and the airplane tilted hard to the right. I stopped the aircraft immediately. I didn't set the brakes because I was worried maybe it was a brake issue. The first officer made a quick PA; and told the passengers to remain seated. We called ramp; and told them we were stopped and that we needed to have the airplane inspected. While we were waiting another aircraft taxiing by said both of our right main tires were flat. Eventually maintenance and airfield operations arrived. We determined we would deplane the airplane there; and it would have to be eventually towed in. After coordinating with ramp and maintenance; the passengers were deplaned. I debriefed the flight attendants. They all agreed they experienced nothing unusual until the loud bang on taxi in. The first officer and I stayed on the aircraft until everyone else was off and then met the den chief pilot.

Google
 

Original NASA ASRS Text

Title: 737 flight crew reported both tires on right main gear were flat which caused them to deplane via airstairs as they were unable to pull into the gate.

Narrative: Arrived at the aircraft. I did the walk around after briefing the flight attendants. Nothing unusual was noted on the walk around. The preflight; taxi; takeoff; cruise; and approach were normal; with absolutely nothing unusual happening. The arrival was flown to a visual approach to DEN Runway 16L; Flaps 30 ; auto brakes 2; REF 146; TGT 151; winds were southwest at 7 knots. The approach was stable. Touchdown was about 1500-2000 ft. down and smooth; the rollout was unremarkable. Full reverse; auto braking; and then manual braking were used in a normal way. We turned off at F4. Everything about the flight was normal to this point.After we started to taxi south on Foxtrot; I noticed the airplane pulling very slightly to the left. It was not a lot; just a little. There were no other unusual indications. I showed the FO (First Officer) what I was feeling. It really wasn't a big pull; and there were no other indications; but I thought we should write it up; since we felt nothing while taxiing in [departure]. We sent a [report] while taxiing. Shutdown #2 engine after turning on Taxiway BS. Everything else was normal until we turned toward the lead in line. There was a sudden very loud bang; and the airplane tilted hard to the right. I stopped the aircraft immediately. I didn't set the brakes because I was worried maybe it was a brake issue. The First Officer made a quick PA; and told the passengers to remain seated. We called Ramp; and told them we were stopped and that we needed to have the airplane inspected. While we were waiting another aircraft taxiing by said both of our right main tires were flat. Eventually Maintenance and Airfield Operations arrived. We determined we would deplane the airplane there; and it would have to be eventually towed in. After coordinating with Ramp and Maintenance; the passengers were deplaned. I debriefed the flight attendants. They all agreed they experienced nothing unusual until the loud bang on taxi in. The First Officer and I stayed on the aircraft until everyone else was off and then met the DEN chief pilot.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.