The accident happened on Thursday morning at Bangor International Airport, according to the Bangor Daily News.
"The airport takes safety very seriously," airport director Rebecca Hupp said.
She added: "Many flights come and go without incidents. Clearly, this is an unfortunate accident. Our deepest sympathies are with the family."
Travolta and his wife Kelly Preston were travelling to their home in Isleboro, ME.
The airport is reportedly investigating the incident.
