Mugabe was urged to resign or face impeachment.
A portrait of the world's oldest head of state looks down on the ZANU-PF lawmakers as they prepare to discuss their threat of impeaching Mugabe when Parliament resumes Tuesday.
There is, however, a second vice president, Phelekeza Mphoko, who is loyal to First Lady Grace Mugabe.
Despite jubilant celebrations over the weekend in Zimbabwe's capital Harare, some opposition leaders are wary of military-backed transition of power, fearing that one dictator will be replaced with another one - instead of letting the people vote for their new leader, Reuters reported.
In a televised address on Sunday, Mugabe refused to announce his resignation and said he plans on presiding at the ZANU-PF party congress in December. "And I don't think that ZANU-PF as now constituted would want that end to President Mugabe".
It also mentions Mugabe's poor management of the economy and his abrogation of "his constitutional mandate to his wife" Grace.
Zimbabwe's President Robert Mugabe has ignored calls to resign and might instead face removal from the office he's held for almost 40 years.
The ruling Zanu-PF party's deputy secretary for legal affairs Paul Mangwana said politicians would move a motion for impeachment on Tuesday and set up a parliamentary committee, and on Wednesday the committee would report back and "we vote him out".More news: Volvo to deliver thousands of autonomous vehicles to Uber
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The party has opted to press ahead with impeachment proceedings after Mugage failed to resign before the noon deadline today. Although Mugabe's Zanu-PF has the required two-thirds membership to remove Mugabe, participation by the opposition could give a boost to a process that was started by the military's intervention last week.
"Mugabe, your rule is over".
The group's leader, Chris Mutsvangwa, on Monday, called for more demonstrations against the President's attempt to cling on to power.
He also says the war veterans' association is going to court to argue that Mugabe is "derelict of his executive duty".
Meanwhile, eight leaders from different Christian denominations - including Catholic, Evangelical, Charismatic, and Protestant - issued a statement saying the overthrow of Mugabe could actually be an opportunity for the birth of a new country.
He is 93, in failing health and has enemies on nearly every side, but President Robert Mugabe used his TV address on Sunday to display the survival skills of one of the world's wiliest politicians.
"The process is tedious and it might take some days".
However, George Charamba, Mr Mugabe's spokesman and possible drafter of the speech, told the Financial Times before the president went on air on Sunday that the generals were not seeking Mr Mugabe's resignation.