Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Critical; Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor
Flight Crew Overcame Equipment Problem; General Maintenance Action
After landing and taxiing towards our parking spot the we got indications of an APU fire. The APU was running and supplying electrical power to the aircraft. Almost simultaneously with the fire warning ground control called and said [they] could see smoke coming from the tail of the aircraft. The Captain stopped the aircraft set the brakes and called for the APU FIRE QRC. We ran the items and the fire was immediately extinguished. We then called for fire department support and was happy to see them already at the aircraft as the Ground Control called them for us. After confirming the fire was out; we taxied into our spot and shut down the aircraft.   It was great to see how fast the Ground Controller was there to confirm our fire suspicions and to call local fire rescue for us. [Other personnel] were on the scene so fast that if an evacuation would have been necessary; they would have been a great help to us.
On taxi to freight facility after landing got a APU fire warning closely followed by ZZZ Ground informing us that there was smoke coming from the tail area of the aircraft. Stopped the jet; asked ATC to roll the fire equipment and completed the APU FIRE QRC followed by the QRH. We discharged one fire retardant bottle. The fire warning went away and ground personnel indicated there was no further evidence of fire. We taxied to parking spot and shut down.   Did not [request priority] as we were already on the ground and required no priority handling. We did call immediately for fire trucks to come to our location.Simulator training works well and prepared us for the event. Cannot overstate the great help available from the ground controller and fire department.
B737-700 flight crew reported that an APU fire began during taxi and was extinguished after the crew ran the applicable procedure.