The unidentified woman jumps from a bus and runs around the back of the jet in an attempt to get back on the aircraft.
The passenger is then sternly confronted by a member of ground staff who tells her: "That was unbelievable."
Staff said the woman could have been injured or killed by the Norwegian Air Shuttle's jets or hit by a service vehicle.
She could also have dropped an item near an aircraft, putting other passengers at risk.
The passenger makes a mad dash across the runway
The woman runs around the back of the jet
The Norwegian flight arrived yesterday at Edinburgh from Providence, Rhode Island.
The woman, carrying a plastic shopping bag and wearing a sun hat, dashes around the tail of the plane, putting herself at serious risk.
Vehicles and members of staff can be seen moving around behind the aircraft, but the woman appears unfazed and runs directly towards them.
The unidentified woman can be seen approaching a member of staff at the front of the plane, before she starts running back to the shuttle bus.
It's believed the passenger left a bag on the plane
The passenger is told to return to the shuttle bus
A member of staff then approaches the vehicle and approaches the rogue passenger. She said: "Can I ask you madam, what are you doing?"
To which the woman simply replied: "Sorry."
The airport employee gives the passenger a stern warning. She said: "It is absolutely not allowed. Do you want to get killed?"
The passenger sheepishly replied: "No. Sorry."
The passenger makes her way back to the plane
The woman apologises meekly
The staff member added: "That was unbelievable."
Inflightvideo posted the video to YouTube with the caption: "Disembarking our flight at Edinburgh having just arrived from Providence, Rhode Island, USA.
"One passenger suddenly decides to run off of the bus and across the tarmac, underneath the aircraft. She is sent back by a baggage handler and given a stern talking to by the handling representative."
Social media users were quick to comment on the post, and theorise why the woman would make such a shocking decision.
A member of staff questions the passenger's decision
The passenger is berated by airport staff
Ove Aleksander Langeland-Finne said: "I suspect she suddenly remembered that she forgot something and she wanted to let them know. But this is absolutely not the way to do it."
Gareth Churchill added: "She's lucky she wasn't instantly arrested. Clearly a security breach."
Gabrielle Gipson commented: "I'm sure she lost a bet or something silly like that."
Edgar Sintanneland said simply: "A sudden case of brain failure?"