Mr. Green is among a handful of liberal members who've pushed for impeachment now, even though Democrats do not control either chamber.
House Minority Leader Nancy Pelosi said that while Trump has made several statements and taken actions "that are beyond the pale for most Americans", it was important to allow congressional committees probing Russian meddling in the USA election and possible Trump campaign collusion to proceed with their work.
All in all, it was a politically inept decision on Green's part.
"Now is not the time to consider articles of impeachment", Pelosi and Minority Whip Steny Hoyer said in a statement. All Republicans voted to turn away Green's resolution, while four Democratic lawmakers voted present.More news: Black Mirror announces season 4 release date with full trailer
Green had used a so-called privileged motion to force a vote on the issue.
House Democratic leaders aren't in favor of pushing impeachment at this point as they seek to win back the majority next year.
"The special counsel's investigation is moving forward as well, and those inquiries should be allowed to continue", she added, referring to Robert Mueller. It does detail Trump's dalliances with the far right - including his failure to quickly denounce the white-nationalist marchers in Charlottesville - and his recent tweeting of anti-Muslim videos circulated by a British extremist group, as well as public acts and statements denigrating various groups and individuals.
"The question isn't whether we have a bigot as president", Green wrote in his letter, according to NPR. "It causes unparalleled destruction to our society in the long- and short-term that will not easily heal".
House GOP leaders are expected to reject the measure, but Green can still force a procedural vote that will effectively serve as the first vote in Congress on impeaching Trump.