Mr Mnangagwa said a protest "detonated a couple of inches from me - yet it isn't my opportunity".
Video film from White City Stadium demonstrates a blast happening near Mr Mnangagwa as he was leaving the stage having tended to supporters.
While the president was safe, state TV reports that Vice-President Kembo Mohadi has endured leg damage.
Mr Mnangagwa says he has gone to the harmed in healing center. He denounced the brutality as silly and argued for solidarity.
Mr Mnangagwa came to control last November, expelling his previous guide Robert Mugabe.
The president was in Bulawayo, Zimbabwe's second city and a resistance fortress, to crusade for his Zanu-PF party in front of across the country decisions occurring on 30 July.
"Individuals began running every which way and after that quickly the president's motorcade left at a fast," an AFP reporter at the scene revealed.
The races are the first in Zimbabwe since Mr Mugabe was removed following 37 years in control.
Presidential representative George Charamba issued an announcement affirming Mr Mnangagwa was sheltered and reviewing: "There have been different endeavors on the president's life in the course of recent years."
It isn't clear how serious the wounds to Second Vice-President Kembo Mohadi are.
Zimbabwe's First Vice-President, Constantino Chiwenga endured minor wounds, Reuters news organization reports.
His significant other, Marry, was likewise harmed and pictures via web-based networking media demonstrated the president going to her in healing center.
The Zimbabwe Herald daily paper portrayed the blast as a death endeavor on the president.
State telecaster ZBC likewise announced that Zanu PF national director Oppah Muchinguri-Kashiri, political commissar Engelbert Rugeje and some ZBC team individuals were additionally harmed.
The US Embassy in Harare denounced the assault.
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