Mr Bridgen said the Commons leader would have made a "better decision" than authority figures who told residents to stay in Grenfell Tower while it burned.
The rapper called for the MP to resign in a furious Twitter tirade, as he dubbed Jacob Rees-Mogg as "the scummiest".
The Tory MP has come under for saying he would have ignored advice from the fire brigade and fled the tower.
The London Fire Brigade has been heavily criticised for its "serious shortcomings" in its response to the Grenfell fire.
Bellway Homes, the firm that built a six-storey block of flats in Barking, east London, which was engulfed by fire on Sunday afternoon had tried to downplay the fears of residents as recently as last month
A BBC 5 Live investigation revealed that fire safety experts have warned that hospitals, schools, nursing homes and tower blocks are at risk.
Six men were arrested and another questioned over the shocking video, posted in November 2018.
A man has been jailed for more than four years after committing a fraud of nearly £90,000 by pretending to be a victim of the Grenfell Tower tragedy.
Sharife Elouahabi, 38, lied about staying in a flat with a family of five who all died in the fire.
Sharife Elouahabi pleaded guilty to fraud after claiming he was staying in a flat on the 21st floor of the tower where a family is known to have died during the deadly blaze.
Jenny McDonagh, 39, was described as a ‘serial fraudster’ who ‘lives beyond her means and gambles’.
Pictures showing the gutted kitchen where the devastating Grenfell Tower fire broke out have been released for the first time. The photos were shown to the Grenfell Inquiry, which is currently investigating the cause and spread of the fire, which killed 72 people as it tore through the 25-storey building on 14 June last year. The Grenfell Tower fire broke out in the kitchen of flat 16.
The Government will fully fund the removal of dangerous cladding from tower blocks by councils and housing associations.
Supporters of Maxwell Woodger are alleged to have claimed that survivors living in hotels were ‘milking the system’.
Adele and other stars and politicians attended today's six-month memorial for the Grenfell victims and survivors.
Clarrie Mendy has been helping shape the multi-faith service, which will focus on remembering the 71 victims of the June 14 tower block blaze.
It's three months since a fire tore through Grenfell Tower in North Kensington. As the country looked on in shock and dismay at the horror that unfolded that night, discussion quickly turned to the conditions which led to it and whether the tragedy would mark a change in attitudes towards social housing. Journalists and politicians suddenly wanted to hear about life on council estates in austerity Britain.
Flora Neda, who lived on the 23rd floor of the building, claimed residents said they were told to go to the top floor and wait for rescue by helicopter as the fire raged.
At least 20 survivors and witnesses of the Grenfell Tower fire have attempted suicide since the deadly incident, a charity has claimed, warning that more such cases could arise in the coming weeks and months.