The 24-year-old Scottish international, who signed for the Blades for £20 million in 2019, was involved in a bust up in Knaresborough in May and a mobile phone clip of the incident went vital.
McBurnie, a striker, was involved in an altercation with 21-year-old insurance broker Elliott Wright.
It is claimed that the Scottish international was goaded about Sheffield United’s relegation from the Premier League before violence flared.
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A man was seen stamping on a mobile phone, which was dropped to the ground during the incident.
Mr Wright, from Harrogate, who suffered a black eye in the fracas, later said ‘I am sure we all regret the incident’ and indicated that he did not intend to take any further action.
At the time he said: “We exchanged opinions at the time and as far as I am concerned the matter is concluded.
“I wish Oliver all the best going forward. After the year we’ve all had, it’s time to look to the future and not the past.”
McBurnie was arrested over the incident by North Yorkshire Police and Sheffield United said an internal probe at the club had also been launched.
But it has now emerged that McBurnie, who earns £20,000-a-week, is not facing any court action.
North Yorkshire Police said: “Following an investigation, a man in his 20s has been cautioned for a public order offence, namely using threatening behaviour.
“A second man, also in his 20s, was issued with a penalty notice for a similar offence.
“Police are no longer appealing for information.