The protesters claimed that the polls were rigged by President Robert and his Zanu PF party.
Scores of people suspected to be Prime Minister Morgan Tsvangirai's supporters staged peaceful protests in Harare's Highfield and Mufakose high density suburbs demanding a re-run of the July 31 national elections.
One of the unidentified demonstrators, who addressed his fellow protestors, said they will not allow President Robert Mugabe to remain in power following the recent presidential election he won with a wide margin.
"We are prepared to die while defending our democratic rights. We will not allow (President) Mugabe to stay in power forever. He rigged the elections," said the demonstrator, amid applause from other protesters.
President Mugabe's Zanu PF party won with a landslide victory against Mr. Tsvangirai's Movement for Democratic Change although the prime minister remains adamant that the polls were fundamentally flawed.
The unidentified protester said the Zimbabwe Electoral Commission should release all material used in the July 31 elections to allow Zimbabweans to scrutinize it.
Saturday's spontaneous demonstrations which lasted for a few minutes in both Highfield and Mufakose high density suburbs were not authorised by the police. Anti-riot police arrived in both suburbs after the protesters had dispersed.
The protests came only a day after Mr. Tsvangirai withdrew his court application challenging the outcome of the elections and his demand for fresh polls within 60 days.
The outgoing prime minister said he will now pursue "democratic means" to remove President Mugabe and his party from office
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