Huhne, a Liberal Democrat, said he will remain in Parliament, The Daily Telegraph reported.
"I am innocent of these charges and I intend to fight them in the courts, and I am confident a jury will agree," Huhne said.
"So as to avoid any distraction to my official duties or my trial defence, I am standing down as energy and climate change secretary."
Police in Essex say Huhne, 57, was at the wheel when he was caught speeding by a camera. He allegedly convinced his then-wife, Vicky Pryce, who is also charged, to say she was driving because the points on his license would have meant a lengthy suspension for Huhne.
Pryce, an economist, went to The Times of London with the story in 2010 after Huhne left her for a younger woman. Pryce did not tell the newspaper immediately that she was the one who took the points.
Prime Minister David Cameron, a Conservative, announced Edward Davey, a Liberal Democrat, will replace Huhne in the coalition Cabinet, The New York Times reported.