The incident took place near the northern end of the Suez Canal, reports CBS News Correspondent Jesse Schulman.
The president was on his way to address a meeting in Port Said while touring industrial projects in the city. After the incident, he went on to his meeting and delivered a speech as scheduled.
Police Tuesday questioned the family and neighbors of the alleged assailant, Said Hassan Suleiman, a 40-year-old clothing vendor, described as an angry, religiously conservative man with a grudge against the government.
A statement by the Interior Ministry said Suleiman "has been known for impulsive behavior and recklessness" but had "no political affiliations."
In addition to MabarakÂ's light injury to his hand, a bodyguard was slightly injured while struggling with Suleiman.
On Tuesday, Mubarak met as planned with Omani Sultan Qaboos bin Said in his retreat in the Egyptian coastal resort of Sharm el-Sheik. His office announced without explanation that he had canceled a trip scheduled Wednesday to Libya for an Organization of African Unity summit.
Suleiman's parents and three brothers were arrested Monday, and his neighbors were taken in for questioning, police officials said, speaking on condition of anonymity.
Speaking to Egyptian reporters, friends and owners of shops next to Suleiman's stall said he was known for picking fights.
Mubarak has survived at least three other apparent attempts on his life. In June 1995 Muslim militants fired on his limousine as it was driving through Addis Ababa, Ethiopia, on the way to a summit.
His predecessor, President Anwar Sadat, was assassinated in 1981 by Islamic militants angered at his having signed a peace treaty with Israel in 1979. Mubarak, who was Sadat's vice president, became president after the assassination.
Mubarak is preparing for a presidential referendum Sept. 26 that he is expected to win. It would be his fourth six-year term in office.