In the clip, filmed from the window of the jet, you see several bright orbs flashing below the plane.
They appear to be moving in the same direction as the jet, as it passes over Taiwan.
A witness reported the sighting to MUFON, who keep a global database of UFO sightings and investigates some of the cases.
“I used slow motion to film the video until they asked me to shut down my camera due to landing policy”
A witness on board
He said: “I have witnessed eight to ten UFOs flying.
“I was on the airplane of Eva Airlines from Vancouver, Canada, to Taipei, Taiwan.
“Thirty minutes before landing, I saw a bright light flying underneath.
“The third video I have is 38 seconds. About eight UFOs are flying under the plane.
“I used slow motion to film the video until they asked me to shut down my camera due to landing policy.”
Although the incident is said to have occurred in 2014, footage has recently gained popularity, as viewers begin to ask questions.
This clip comes just a few days after it was reported NASA are to investigate a set of rocks that “show paintings of UFOs and aliens.”