The row has caused major embarrassment to the government of President Mahmoud Ahmadinejad, who has defended Kordan throughout the controversy and who refused to appear in parliament for the impeachment session.
"A person who has to be entrusted with the country's security has mocked parliament's trust," MP Ebrahim Nekunam said in a speech carried live on state radio.
"The sensitive position of interior minister requires that Mr Kordan serve in another post. What is important today is the reputation of the Islamic republic system," added another lawmaker, Ali Asghar Dastgheib.
Kordan had been under pressure to quit the cabinet post he took up in August after the prestigious British university denied awarding him any qualification through a representative, as he had claimed.
He had shown the purported degree to MPs in a controversial vote of confidence on August 5 when he was confirmed in office by 169 votes to 100.
The minister replaced Ahmadinejad critic Mostafa Pour Mohammadi in one of the many cabinet reshuffles since the president took office in 2005.