The Sri Lanka A cricketer will also receive a further warning by the Cricket Board as the SLC executive committee decided a disciplinary action following a committee report.
Rambukwella, in an inebriated state, had tried to open a British Airways flight door while flying back from the West Indies end of June.
He however had defended himself by saying that he was a natural sleep walker.
Team manager Jayantha Seneviratne had claimed that Rambukwella, whose father is a government minister, was not able to find the toilet door as the lights had been dimmed.
The British press reports said that panicked travellers had alerted the flight crew when Rambukwella was trying to open the flight door at 35,000 feet.
Sri Lanka cricket fines Ramith Rambukwella for flight incident
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