The person, identified as R K Sharma, was apprehended by CISF who were tipped-off about his activities.
Sharma, officials said, was employed by an aircraft cleaning agency operating at the IGIA.
Officials said the cleaner had allegedly stolen the laptop, a 'Sony' brand machine, from a British Airways flight which landed here from London and was parked for cleaning operations after the passengers had de-boarded.
The cleaner, they said, hid the laptop in a cavity in the aerobridge thinking he would collect it at an opportune moment but he was nabbed.