The China Eastern Airlines flight from Nanjing, which had 141 people on board, skidded onto a grass area as it was taxiing to the gate, Hong Kong's Airport Authority said.
Two passengers reported feeling unwell and were sent to hospital, the authority said.
The runway -- one of two at the airport -- was temporarily shuttered, delaying 109 flights, both incoming and outgoing, the authority said, with local media reporting heavy stacking over the storm-soaked city.
Around 150 mm of rain has been recorded at the airport since early Wednesday, according to the Hong Kong Observatory.
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