Three people have died in Port Gentil, the country's oil hub, in the violence and the government is contemplating using emergency powers if the unrest does not cease, Jean-Francois Ndongou, the interior minister, said.
However, the level of violence in Port Gentil decreased on Saturday night compared to earlier days, which had seen looting and attacks on French interests. France is Gabon's former colonial power.
"The president and the prime minister do not want to put Port Gentil under a state of siege. We are not yet at that level," Ndongou said.
"But if peace, order and harmony are not restored, we are going to solicit authorisation to do so from parliament."
Employees evacuated
Port Gentil is already under a dusk-to-dawn curfew, but a state of emergency can be called only after cabinet and parliamentary discussion.
A club run by Total, the French oil company, and the French consulate in Port Gentil were torched.
French paratroopers are guarding the consulate and Total has evacuated its staff to Libreville, the capital.
Some opposition supporters believe that France helped Bongo, 50, to fix the election, allegations that both Paris and Bongo have denied.
Ndongou said that none of the deaths were caused by the military and that the government would accept an international investigation into the clashes.
Legal challenge
In Libreville, the capital, where tensions had abated, Bongo, the son of the late leader Omar Bongo, made his first appearance since the election.
He appealed for calm and urged his rivals to take their allegations of fraud in the August 30 poll to court.
Opposition leaders have said that they will legally contest the election results.
Bongo received 41.7 per cent of the vote compared to about 25 per cent each for his closest rivals Andre Mba Obame, the former interior minister, and Pierre Mamboundou, a veteran opposition leader.
Omar Bongo died in June after 41 years of rule.