"I didn't know what was going on", Skeans told the BBC.
BBC's Ron Skeans was recording video of President Donald Trump speaking about immigration when he was knocked off balance by a man in the crowd, who can be seen moments later being restrained by another man wearing a red MAGA hat.
The American president has a strained relationship with the media.
He has claimed journalists are "the enemy of the people" and slammed the "fake news" for reports he deems unfavourable.
The footage then shows the man who allegedly pushed Skeans being dragged away by security as he shouted, "Fuck the media".
President Trump checked they were well with a thumbs up, and continued his speech after Mr Skeans returned the gesture.
Gary O'Donoghue of BBC's Washington correspondent posted the video recorded by Skeans to Twitter (seen below).
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"It was an incredibly violent attack".
A campaign official for Mr Trump afterwards suggested the attacker was drunk.
During Monday night's rally in El Paso, the President encouraged support for his proposed border wall with Mexico to protect the USA against a "tremendous onslaught" of migrant caravans, violent criminals and drugs.
However, BBC Washington Editor Eleanor Montague, whom he was with, told BBC the protester had attacked other crews within the rally but Skean "got the brunt of it".
The BBC's Washington news editor, Eleanor Montague, said Trump had whipped the crowd "into a frenzy against the media" prior to the attack.
United Nations experts last August warned that Trump's attacks "increase the risk of journalists being attacked with violence" and suggested that his rhetoric was "strategic".
Trump has made hostility toward the media a feature of many of his rallies, where a metal barricade often separates his supporters from reporters.