The video, uploaded to social media by Briton David Lawrence, showed a man hurling racist insults at an elderly black woman sitting in the same row and demanding she move seats onboard a flight from Barcelona to London on Friday.
Travelers are calling for a boycott of Ryanair after a white male passenger was filmed using racist language against an elderly black woman - and allegedly suffering no consequences for his tirade.
Her daughter has told The Huffington Post the row started because her mother, 77, has arthritis and it took some time for her to move out of the way for the man to get into his seat.
"I don't want to sit next to you, you ugly fucking cunt", the man can be heard shouting at Mrs Gayle in a video that was shot on a fellow passenger's phone.
A video of the man verbally abusing the black woman has garnered more than a million views and more than 30,000 shares on Facebook at the time of writing.
During the clip, he said: 'I tell you what, I hope someone sits there because I don't want to sit next to your ugly face, your ugly fucking face.
The man who filmed a racist attack on-board a Ryanair jet has said he will not fly with the airline again unless its policies on abusive passengers change.
"In relation to this particular case, there's obviously an investigation being conducted by Essex Police and it's right that I don't comment specifically on that".
Asked about the incident at a daily press briefing on Monday, Prime Minister Theresa May's spokesman said: "When people are travelling and going about their public life, no-one should be subjected to intimidation or any form of abuse".
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The video went viral over the weekend with people outraged that she felt forced to move seats and he was not removed from the plane.
The woman said they had been returning from a holiday she had taken her mother on to mark the first anniversary of her husband's death.
The man was not removed from the flight.
He added: "In fact, one of the passengers whilst I was filming basically said to me don't you think you're being a bit childish by filming this".
In a very short statement on its official Twitter account, Ryanair says it is "aware of this video and have reported this matter to Essex Police".
The report states that she was seated elsewhere after the altercation and that the incident was reported to police who are investigating.
It also told the BBC: "We operate strict guidelines for disruptive passengers and we will not tolerate unruly behaviour like this".
"We are working closely with Ryanair and the Spanish authorities on the investigation".