Skeans was unhurt and the man wearing a "Make America Great Again" hat was restrained and removed from the riser where the media had assembled.
Trump, in turn, has often supported and joked about violence against reporters and the media, going so far as to praise Rep. Greg Gianforte after he allegedly threw an American reporter to the ground in the final days of his bid for Congress. After the attack, a Trump campaign official suggested that the attacker had been drunk.
Skeans was accompanied by BBC's Washington producer and correspondent, Eleanor Montague and Gary O'Donoghue.
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Montague tweeted: "Just attended my first Donald Trump rally where my colleague BBC cameraman Rob Skeans was attacked by a Trump supporter". It takes seconds (we don't even need your address) and every dollar helps. As the MAGA-hat wearing man was being pulled away, the crowd could be heard chanting, "Let him go!"
Montague said that the shover attacked other news crews but that Skeans "got the brunt of it". He continued his speech after Skeans returned the gesture, the BBC said.
"Wow, look at all the press back [there]".
Former White House communications director Anthony Scaramucci condemned Trump's supporters at the Florida rally on Twitter, saying the behaviour was "not who we are".
'It was an incredibly violent attack.
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"Fortunately, our cameraman is fine, he is made of stern stuff", Mr O'Donoghue told the BBC Radio 4 Today Programme on Tuesday morning.
Another BBC colleague, Gary O'Donoghue, told the same show that such attacks are "a constant feature of these rallies - a goading of the crowds against the media".
At the time, Trump was touting recent economic numbers to a roaring crowd in the El Paso County Coliseum.
The Donald Trump supporter could be seen being restrained after the incident.
CNN Chief White House Correspondent Jim Acosta past year posted a video on Twitter that showed a hostile crowd at a Trump rally in Tampa, Florida.
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