Mnangagwa, who was quickly rushed away from the scene of the explosion, later visited the injured in hospital.
President Edgar Lungu has described the apparent bomb attack on Zimbabwean President Emmerson Mnangagwa in the city of Bulawayo as unfortunate.
"Any form of violence in politics is unacceptable".
A "complex investigation" is underway, he said.
Most of the injured were treated in hospital and released, but 43 were still in hospital on Sunday and six were in critical condition, health minister Amir Aman said. "He is at the state house in Bulawayo", said spokesman George Charamba.
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"Who told you elections are stopping?"
Media captionEmmerson Mnangagwa: Who is the man known as the "crocodile"?
No arrests have been reported.
Mnangagwa believes he was the target of the blast, adding it was the latest in a series of assassination attempts by enemies he has not identified.
Forty-one people were injured in the blast at a rally in the city of Bulawayo, which occurred close to Mr Mnangagwa as he was leaving the stage.
"The campaign so far has been conducted in a free and peaceful environment, and we will not allow this cowardly act to get in our way as we move towards elections". "The strongest response to hate is love", wrote Mnangagwa on his Facebook page.
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Similar scenes were witnessed at the 2014 World Cup in Brazil, even after they were defeated 2-1 by Didier Drogba's Ivory Coast. One clip of the clean-up operation, shared by Argentinean channel TyC Sports, has been viewed more than 4 million times .
Mnangagwa was unscathed and later pointed out he'd had numerous attempts on his life in the past, saying he was used to them by now. "It is not my time", he said.
Zimbabwe Broadcasting Corporation indicated Mnangagwa's Vice President, Kembo Mohadi, suffered a leg injury in the attack though the degree of the injury could not be ascertained.
The police have offered "a substantial reward" to members of the public to step forward with information that could help establish the persons behind the attack.
The vote next month is the first since Robert Mugabe's downfall after a de facto military coup last November.
Another vice-president, Constantino Chiwenga, received bruises to his face.
"Let me be very clear, nothing will stop the election in Zimbabwe, nothing at all", Chiwenga told a rally of the ruling ZANU-PF party in the town of Chitungwiza near Harare.
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