A cordon has been put in place and the airport closed whilst the package is examined.
Some planes due to lane have reportedly been diverted to Manchester and Newcastle.
Further information will be issued in due course.
Update 14 May 2017
A Spokesperson for West Yorkshire Police said:
Police were called at 8.09pm on Saturday evening (May 13) to a report of a suspicious package at Leeds Bradford Airport.
Following established procedures to protect passenger and public safety a cordon was put in place as a precaution. The airport was closed for a short time whilst the matter was being investigated.
Officers from the Explosive Ordnance Disposal team attended and the item was subject to a controlled explosion.
The incident is not believed to be malicious or terror-related at this time, enquiries are ongoing.