On Friday, lawyers for the Movement for Democratic Change (MDC), filed papers with the Constitutional Court in Harare, calling for a rerun of the vote.
The MDC lawyers argued the election must be cancelled because of alleged election irregularities.
“We want a fresh election within 60 days,” MDC spokesman Douglas Mwonzora said.
“The prayer that we also seek is to declare the election null and void,” he added.
Last week, the Zimbabwe Electoral Commission (ZEC) announced that Mugabe beat MDC leader Morgan Tsvangirai with 61 percent of the votes against his rival’s 34 percent.
On August 2, the African Union (AU) praised Zimbabwe for holding peaceful elections, and dismissed the accusations of rigging made by the MDC.
Olusegun Obasanjo, the head of the AU observer mission, said that the elections in the southern African country were “free, honest and credible”.
Mugabe has become Africa’s oldest leader at 89, having ruled Zimbabwe since its independence in 1980.
Mugabe and Tsvangirai have been sharing power since 2009, following a deal brokered by a regional bloc to end the unrest sparked after a disputed poll in 2008.
Violence broke out in the last presidential election in 2008, forcing Tsvangirai out of the race despite a first round win after 200 of his supporters were killed in the unrest.