A320
Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Critical; Inflight Event / Encounter Loss Of Aircraft Control
Flight Crew Regained Aircraft Control; General Maintenance Action
Aircraft
After an uneventful cross country flight and landing; exited on high speed and turned north on taxiway.  Noticed the plane veer left on taxi and was unable to control airplane with nose wheel steering.  Had ECAM Green Hydraulic Low Pressure and loss of nose wheel steering.  Stopped airplane with brakes before exiting the taxiway.  Coordinated with Ground and Maintenance to have a tug pull us to the gate.  Handled the ECAM and shutdown the engines.  Coordinated with the flight attendants that we were ok and would be towed in.  Airport personnel said they saw hydraulic fluid leaking.  Uneventful tow in to gate.
A320 Captain experiences a Green Hydraulic system failure during taxi in after landing resulting in loss of nose wheel steering.  After stopping on the taxiway the aircraft is towed to the gate.