A spokesman for the airport said that the incident involved a Jet2 and Ryanair plane- but there were no passengers on board at the time.
Waiting to take off on another aircraft, a passenger said they saw one plane ‘clip’ the other at around 7.50am.
A statement from Ryanair said: “This aircraft was under the instruction of East Midlands Traffic Control at the time and the crew were following correct taxi lines as per ATC procedure.
“This B737-700 aircraft was due to be used for training in East Midlands so no customers were affected.”
Some flights had been delayed due to the foggy conditions this morning.
A probe by the Air Accidents Investigation Branch has been launched.