Owens, 33, who works for The Daily Wire, published footage of the incident calling Cullors, 38, a "liar" as she shared the edited video of her team calmly asking last Saturday to talk with the agitated activist.
In Cullors' clip, she sobs while she says she was shaken by the encounter, despite never speaking to Owens herself.
The incident comes a week after Cullors, who left the Black Lives Matter Global Network last year amid scrutiny over her leadership, admitted that she lied when she denied employing the $6 million LA property for official business, just as she proceeds to face an investigation over how the group's funds were handled.
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Cullors told the Associated Press earlier this week that she used the opulent seven-bed Studio City compound - bought in cash by BLM in October 2020 - for her own recreation twice.
The first example saw her hold a party to toast Joe Biden and Kamala Harris's inauguration as president and vice president in January 2021.
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Then, in March the same year, she commandeered the luxury property - whose purchase has sparked fury among other racial justice campaigners - for her school-aged son's birthday party.
Cullors said of her earlier decision to lie: 'I look back at that and think, that probably wasn't the best idea.'
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She previously issued a statement denying that she'd ever lived there or used the property for her personal gain after its purchase was disclosed by New York magazine, triggering allegations of racism from BLM.
The purchase of the 6,500 square-foot Studio City property - which officials previously said was reserved exclusively for official foundation business - was disclosed last month by NY Mag.
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In the clip of Owens visiting Cullors' Topanga Canyon Home, she tells a guard at the gate: "I was just looking to speak to whoever is at this property because it's listed as the Black Lives Matter property?"
She goes on to say, "We're not trying to harass you. We'll gladly leave. We're just wondering if we can speak to anybody?"
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Cullors denounced the incident on Instagram in her tearful video.
"I really need my family to be safe. I need to be safe. I need my child to be safe, and what happened this morning is not safe," she stated.
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Cullors argued the conservative news outlet had set a dangerous precedent and blamed Daily Wire for attempting to divide black Americans.
"It's unacceptable and it's dangerous for anybody, any stranger, to come outside of my house," Cullors announced.