Beaming lights appear to be from two separate objects and they flash their lights before disappearing on the video filmed by a passenger.
The woman, who uploaded the video, even suspected the pilot changed course after the strange sighting.
The footage was captured during the closing stages of a journey from Wisconsin to Los Angeles.
The popular flight route passes close to the notorious Homey Airport, commonly referred to as Area 51.
Area 51 has been used by American aviation authorities since 1955 and is closed off to those without top-level security clearance.
Many conspiracy theorists believe it is where the Government hides away evidence of alien visitations.
Many more sceptical people believe Area 51 is so top-secret, because it is where the USAF designed and tests experimental new spy planes and air craft.
However, the US Government did not even admit the base existed until 2013, in a series of documents released as part of a Freedom of Information request, and it is heavily protected by armed guards.
The woman said in the video: “Saw this 30 minutes before we landed. My guess was we were near Area 51.
“The lights grabbed the attention of everyone onboard. It was fairly cloudy and these lights would pierce the clouds even when we were in them deeply.
“The blinking was synchronised and penetrating.
“Shortly after we became parallel to the lights, which appeared to be below us or near the ground, the pilot turned away to put distance between us.
“He then re-altered course after a while. To me it seemed like a correction to resume but we were 30 minutes from landing so I’m not sure.
“The video you see is towards the end of the sighting as the plane moves away after the course correction.”
The case has been sent to the US-based Mutual UFO Network for investigation by experts.
However, the woman’s gut instinct may have been correct.
She also said in the video: “I figured a reflection from solar panels at first.”
There is a solar panel plant near Area 51, and reflections from the panel snapped from the sky, have previously triggered reports of UFOs.
The Crescent Dunes Solar Energy Project is a 110 megawatt (MW) net solar thermal power project located near Tonopah, about 190 miles northwest of Las Vegas.
Scott Brando is a UFO debunker who runs website Ufoofinterest.org.
He tweeted: “Strange lights #UFO spotted above #Area51? There’s a possible explanation: a solar farm with reflections from individual panels.”