The tabloid's hypocrite allegations come after Brand got into a heated row with Channel 4 News reporter Paraic O'Brien as he joined Hackney New Era protesters outside Downing Street on Monday.
The 400-strong group were demonstrating against the tripling of rent on a Hoxton estate due to a planned development which is threatening 93 families with eviction.
Brand intended to present a petition signed by 294,000 aiming to stop new construction work.
O'Brien suggested that part of the reason why housing prices were rising beyond the affordable level in London was that the super-rich were buying up all the property in central areas for extortionate amounts.
He then asked Brand: "How much did you pay for your place?"
"It's rented," Brand retorted. "I'm not here to talk about my rent, mate."
The conversation quickly became heated, until a protester spoke to camera.
"At least Russell Brand is standing up regardless of how big his house is," she said. "David Cameron isn't prepared to come out of his big house and help us, but Russell Brand has."
"Snides like you undermine it," Brand concluded, pointing at the reporter. "You're a snide."
Brand later likened the debate to a "row at a jumble sale" in an episode of his satirical YouTube show, The Trews.
"I shouldn't be allowed on television," he said. "I'm so easily wound up. What does it matter to me, what have I got to lose, just from this one bloke? When you talk to a journalist I sort of think it's a combination of boring and really annoying, and my personality type is not well suited to that kind of environment."
-Independent