Jonny May hit the ground three times in the first 30 minutes, preventing France from facing the pace of the winger and the intensity of England.
Although Damian Penaud managed to make a try for visitors, Henry Slade added another before half-time to reaffirm English domination.
France has not won a Six Nations match in London since 2005.
And they will have taken few hits at Twickenham as convincing as that during this period.
A penalty try, after Chris Ashton was removed from the game by Gael Fickou while he seemed about to score, extended England 's lead and saw Fickou injured on the bench. at the beginning of the second period.
Owen Farrell then scored for England's sixth try, ending a completely miserable day for France.
Sunday's result sparked a mouth-watering clash between England and Wales in Cardiff in two weeks.
Both teams are undefeated in this year's tournament and will have the ambition to ensure the grand slam.
That the man
Addressing British broadcaster ITV after the match, May said that scoring a hat trick at Twickenham, the home of English rugby, was "awesome and very special".
May, who scored after two minutes in Dublin last weekend, was even quicker on Sunday. The winger of Leicester Tigers had only 66 seconds to land after pursuing Elliot Daily's goal.
This passage set the tone for the afternoon, the defeats of England proving difficult to manage for France.
Eddie Jones, the English coach, said he was pleased with his team's performance, even though he thought they "were warming up a bit" towards the end of the opening period, when Penaud scored for France.
"It's a tough game when you accumulate points because you can be seduced by the dashboard and start doing things you would not normally do," he told ITV.
"But we kept our discipline and stayed true to the game plan," added Jones.
France lost a 16-point home lead against Wales last weekend and rarely appeared to shock Sunday.
And coach Frank Brunel acknowledged the gap between his team and England after the game.
"There is nothing to say," said the former coach at France 2 Television in comments picked up by the Parlay Game news agency.
"The match was over at half-time, well done to them."