Update at 10:42 a.m. ET: At least 100 people have been injured in clashes in central Cairo between pro- and anti-Mubarak protesers, Al-Jazeera reports.
The worst of the fighting is taking place just outside the famous Egyptian Museum, Al-Jazeera reports. The network says its correspondents report that the army is letting pro-Mubarak supporters through barracides around Tahrir Square.
Update at 10:35 a.m. ET: Opposition leader Mohamed ElBaradei calls President Hosni Mubarak's pledge to step down after September's elections "an act of deception" that will not satisfy the demands of protesters.
"Nobody is satisfied with that, nobody is ready to be naive," ElBaradei said, according to The Wall Street Journal. "It's an act of deception to me."
The Nobel laureate says protesters will end their demonstration only after Mubarak meets their demand to leave the country.
Update at 10:31 a.m. ET: The BBC's Ian Pannell sums up the clashes today: "There's a lot of anger on the streets at the moment, a lot of argument, fists are flying. And who knows where this will end."
Update at 9:53 a.m. ET: CNN reports a "pitched battle" between pro- and anti-Mubarak forces in front of the antiquities museum in Cairo. Anderson Cooper reports that pro-government forces have thrown four or five firebombs at the anti-Mubarak crowds. Cooper says the firebombs set at least one military vehicle afire briefly.
CNN reports that military forces, which checked crowds for ID and weapons before demonstrations the past two days in Tahrir Square, are standing aside and no longer involved in crowd control.
Update at 9:53 a.m. ET: CNN reports that crowds have overturned a military vehicle near the Cairo antiquities museum and clashes broke out between pro- and anti-Mubarak forces in the center of the city.
CNN's Anderson Cooper says the pro-Mubarak crowds are "looking for a fight."
Earlier posting: Hundreds of pro- and anti-government forces are clashing in central Cairo today as protesters calling for the ouster of President Hosni Mubarak refused the military's call to end their week-long demonstrations.
Al-Jazeera reports shots in the area where pro- and anti-Mubarak forces are clashing in central Cairo. Al-Jazeera says they appear to be warning shots fired into the air and some demonstrators may be trying to take refuge in the antiquities museum.
Hundreds of rock-throwing demonstrators have moved behind barriers and trucks for protection.
Watch live Al-Jazeera video here.
USA TODAY's Jim Michaels and Theodore May report that dozens of pro-Mubarak demonstrators mounted on horses and camels charged into a crowd at Tahrir Square, swinging whips and clubs.
NBC's Richard Engel reports that some demonstrators have knives and others are using crowbars to break up pavement stones to use as missiles.
CNN"s Steve Brusk tweets that correspondent Anderson Cooper was punched 10 times in the head as a pro-Mubarak mob surrounded him and his crew as they were trying to cover the demonstration.
It is not clear what impact the clashes will have on efforts to stabilize the country. Anti-government protesters have said they are not satisfied with Mubarak's statement and pledged to continue to pressure him to resign. Demonstrators who support the president began appearing in larger numbers Wednesday.
"The people in Tahrir Square are not Egyptians," says Gamel el-Fekey, 54, who showed up for a pro-Mubarak rally. "Mubarak is the father of our country."