Mortada Mansour, who was elected last week as head of Cairo's Zamalek football club, said he was in favour of a "strong state" to enforce the rule of law.
Ex-army chief Abdel-Fattah al-Sisi is widely expected to win the May 26-27 presidential election, riding a wave of popularity after ousting Islamist president Mohamed Morsi last July.
"My programme in brief is (to make) Egypt strong and recover its prestige and status in the world," Mansour, wearing a dark business suit and sunglasses, told a press conference.
He also lashed out at interim president Adly Mansour for having failed to restore security.
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"You (Mansour) are fast asleep, while young people, police and troops are dying each day and the country is covered in blood," said Mansour, who is also a former judge and MP.
Militants have stepped up attacks on security forces since Morsi's overthrow, killing scores of policemen and soldiers in retaliation for a deadly government crackdown on his supporters.
More than 1,400 people, mostly Islamists, have been killed in the crackdown, while thousands are behind bars, according to Amnesty international.
In October 2012, Mansour was among 24 people acquitted of organising the infamous "battle of the camel", a camel-borne assault on protesters in Cairo's Tahrir Square during the 2011 revolt which ousted Hosni Mubarak.
Leftist leader Hamdeen Sabahi has also announced his candidacy for next month's presidential election.