Chamisa came second to Mnangagwa in a closely fought presidential election which saw him emerge with a 44,3 percent of the national vote while Mnangagwa got 50,8 percent.
"For now it has been stayed pending determination of the court challenge", Zimbabwe's Justice Minister Ziyambi Ziyambi, said.
Mr Chamisa says he has evidence to show that he was cheated out of the 30 July presidential election.
After a whole week of press conference after press conference, the opposition party finally filed its papers with the Constitutional Court challenging the presidential result. Most significantly, the ConCourt's decision will be final.
MDC alleged Mnangagwa's slender victory in Zimbabwe's first election since the ousting of Robert Mugabe was rigged by the ruling Zanu-PF party and the election commission. As Zanu-PF we won resoundingly and democracy prevailed in the elections.
According to the SABC, Dali Mpofu confirmed that he would lead the MDC leader's legal team, which includes another renowned South African Advocate, Tembeka Ngcukaitobi.
The MDC reported that its foreign lawyers had initially been denied entry into the Constitutional Court on work permit grounds.
But the MDC say the security forces have launched a brutal crackdown on the opposition following the disputed poll.
Mr Chamisa wants the court to declare him the victor or call a fresh election, his lawyer told Reuters news agency.
Diplomats and election observers were present at the court hearing in Harare after Biti fled to Zambia but was handed back to Zimbabwean police despite claiming asylum.
"Zimbabwe faces a bad threat from a group of people that has no respect for the law", Biti, who was granted bail Thursday, told the court before his case was adjourned until next week.
Mnangagwa wrote on Twitter that Biti was released after he intervened personally in the case.
I am deeply concerned by the violence and human rights violations which have taken place in Zimbabwe since last week's elections.
He said those who lost should accept the results and work hard to improve next time.
"The ZHRC has established that there is hunting down and harassment of polling agents for independent candidates and opposition political parties", it said.
The US diplomat said the worldwide community, the US included, will continue to make sure that everyone following up on Biti's case was going to respect the opposition politician's "physical integrity, the human rights and constitutional rights and that the constitution of Zimbabwe is respected".