The passengers were taken off the plane safely once it had come to a standstill, and there were no reports of any injuries, according to a spokesman for the airport in Bickenhill, Solihull.
In a statement, the airport said: "Birmingham Airport confirms that an A320 aircraft belonging to charter company, Small Planet, has manoeuvred off the taxiway into grass after landing from Paderborn at 1320 today (Sunday).
"Passengers have safely disembarked and have been bussed to the terminal. There are no reports of injuries."
The airport's fire engines and emergency teams attended throughout the recovery process. Birmingham's single runway remained operational throughout.
A spokesman for the carrier Small Planet, said: "On February 21, Small Planet Airlines flight S5-3260 from Paderborn in Germany ran off the taxiway after landing at Birmingham airport and stopped on the grass. All 98 passengers safely disembarked the aircraft and there were no injuries."
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