The government will "impose some form of age or functionality restrictions" on social media for under-16s even if it stops short of an outright ban, Education Minister Olivia Bailey has said.
Ministers proposed further amendments on Monday evening as they sought to end the stand-off with peers over the Children's Wellbeing and Schools Bill.
The House of Lords had voted in support of a social media ban for a fourth time on Monday afternoon.
Conservative shadow education secretary Laura Trott described the government's latest proposals in the Commons as a "huge step forward in keeping children safe".
MPs supported the government's motion by 272 votes to 64, with the bill now returning to the Lords for what looks to be the final consideration before it receives royal assent and becomes law.
