Many Democrats believe it is premature to discuss impeachment.
The Democratic leaders said, "Right now, Congressional committees continue to be deeply engaged in investigations into the President's actions both before and after his inauguration".
Pelosi and Hoyer say Congress faces a vast set of urgent overdue priorities and that Democrats are focused on "protecting American families" in the coming tax debate and vote. "For this reason I will bring articles of impeachment to a vote in the House of Representatives", Green wrote in a letter to colleagues.
Democratic leaders are expected to oppose Green's resolution, but aides said they aren't whipping rank-and-file members on the measure.
In a 364-58 vote, lawmakers tabled the impeachment resolution from the Texas Democrat.
Green's resolution is expected to fail, given widespread opposition among Republicans and most Democrats.More news: OR will Take on (25) Boise State in Las Vegas Bowl
The resolution offered by Green states that Trump has sown discord among the people of the USA based on national origin and race.
In the resolution, Green argues that Trump has sewn discord among Americans "by associating the majesty and dignity of the presidency with causes rooted in white supremacy, bigotry, racism, anti-Semitism, white nationalism, or neo-Nazism".
Pelosi and Hoyer said in a statement that while legitimate questions exist about Trump's fitness to lead, now is not the time for impeachment.
"Now is not the time to consider articles of impeachment".
Several Democratic lawmakers argued that it's premature to act before special counsel Robert Mueller's team completes its Russian Federation investigation.
His articles cite, among other things, Mr. Trump's response to the white-supremacist rally in Charlottesville, Virginia, and push to ban transgender people from the military.
"I love my country", Representative Al Green of Texas said in a memo to colleagues Tuesday, before adding he meant to bring articles of impeachment against a president who was "unmindful of the high duties of his high office and the dignity and properties thereof".