The EDM said that rises in energy prices could push over six million people into fuel poverty, with energy providers' profits rising to "over £5,000 million".
It adds the government's three-year measures are "welcomed" but "will not go far enough to end fuel poverty".
Gavin Hayes, general secretary of left-wing pressure group Compass, said the practise of "record price rises" alongside continued "record windfall profits" from energy firms "has to stop".
He added: "The energy companies who refuse to pass on cost cuts onto consumers demonstrate exactly why the government must now decisively intervene and levy a sensible one-off windfall tax."
A recent report by the business and enterprise committee stated that energy bills should be cut in the next month, the Daily Mail reported.
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