New legislation would boost the schools regulator's powers to crack down on unregistered schools operating illegally in England, ministers say.
The government says its Schools Bill will also introduce compulsory registers so children not receiving a full education can be identified.
Education Secretary Nadhim Zahawi said the bill would ensure "every child has access to an education they deserve".
But Labour said the Conservatives were "failing our children".
Shadow education secretary Bridget Phillipson said the government was "obsessing over structures instead of improving children's experience in the classroom".
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