Democrats accuse the president of encouraging his supporters to attack the Capitol building. Five people died.
Members of Trump's Republican Party say they will join Democrats to impeach him, formally charging the president with inciting insurrection, BBC reported.
President Trump has rejected any responsibility for the violence.
The riot last week happened after Trump told supporters at a rally in Washington, D.C. to "fight like hell" against the result of November's election.
Will Trump be impeached?
As Democrats hold a majority in the House, the vote is likely to pass. The case will then head for the Senate, where a trial will be held to determine the president's guilt.
A two-thirds majority would be needed there to convict Trump, meaning at least 17 Republicans would have to vote for conviction. As many as 20 Senate Republicans are open to convicting the president, The New York Times reported.
The timeline of when a trial could be held is not known but it is unlikely it could be finished before Trump leaves office on January 20, when Joe Biden will be sworn in as president.
The Senate could also use an impeachment trial to block Trump from ever running for office again. He has indicated he plans to campaign for president in 2024.
The vote means that Trump is likely to become the first US president ever to be impeached twice.
In December 2019 he became the third president to be impeached over charges of breaking the law by asking Ukraine to investigate Biden to boost his own chances of reelection. The Senate cleared him.