The lawmaker, who has ties to the baseless QAnon conspiracy theory, took to Twitter to announce the filing against the new president.
“I’ve just filed articles of impeachment on president Joe Biden, we will see how this goes," she said.
Ms Greene, who is a pro-Trump election fraud conspiracy theorist, was able to use the social media platform after being banned from it for 12 hours last weekend.
"The account referenced has been temporarily locked out for multiple violations of our civic integrity policy," said a Twitter spokeperson.
She has also been accused of posting false conspiracy theories on Facebook about the Parkland High School shooting, according to Forbes.
Seventeen students and staff at Marjory Stoneman Douglas High School in Parkland, Florida, died in a mass shooting on 14 February 2018.
Her stunt comes less than a month into her first term in Congress and is destined for quick failure as the Democrats now control the House and Senate in addition to the White House.
The congresswoman filed the articles over thoroughly debunked and false claims of corruption against Mr Biden and his family in Ukraine, Russia and China.
“President Joe Biden is unfit to hold the office of the presidency. His pattern of abuse of power as President Obama’s vice president is lengthy and disturbing," she said in a statement.