Tanks opened fire after a night of sporadic shooting, Hama-based activist Omar Hamawi told AP news agency. One report said four people had died.
Security forces killed scores of people in the city on Sunday.
Meanwhile, the UN Security Council is to hold an emergency meeting on Monday to discuss the situation.
Activists say about 130 people died across the country on Sunday, making it one of the bloodiest days since the uprising against President Bashar al-Assad began in mid-March.
The BBC’s Jim Muir, in Beirut, says Hama still seems to be largely under the control of its own inhabitants rather than the government.
Tanks and troops which had tried to take control of the city on Sunday, withdrew to the outskirts overnight but now seem to be pushing ahead again, he adds.
Some families in Hama have buried their dead in parks or in the gardens of their own homes because they are afraid to go out, the BBC’s Lina Sinjab in the capital Damascus says.
Witnesses reported tanks shelling a north-eastern district of Hama on Monday, the start of the Muslim holy month of Ramadan.
Mr Hamawi, speaking from Hama by telephone on Monday, said the city’s streets were full of barriers and thousands of men were “ready to defend the city with stones”.
“People will not surrender this time. We will not allow a repetition of what happened in 1982,” he said, referring to a notorious massacre by President Assad’s late father.
Mr Hamawi said residents in villages and towns around Hama had blocked roads to cut military supply lines.
Intense shooting also broke out in the eastern city of Deir al-Zour overnight, Rami Abdul-Rahman, the head of the London-based Syrian Observatory for Human Rights, said.
There are also reports of tanks storming the eastern town of Abu Kamal, on the border with Iraq. Activists say the town has been under siege for about two weeks.
International journalists have been denied access to Syria and it is not possible to verify accounts by witnesses and activists.
Government attempts to crush continuing protests across Syria have brought strong international condemnation, with Germany and Italy calling for an urgent meeting of the UN Security Council. Germany is currently a member of the council.
UN officials said an emergency meeting of the security council would be held behind closed doors later on Monday.
Some security council members including Russia and China have so far opposed resolutions condemning Damascus.
However, Russia on Monday called for an end to “repressions” in Syria.
“The use of force against both peaceful civilians and representatives of state structures is unacceptable and should be stopped immediately,” the foreign ministry said in a statement. Analysts say it is Moscow’s strongest criticism yet of President Assad.
Earlier, US President Barack Obama said he was “appalled” by the Syrian government’s use of brutality.
EU foreign policy chief Catherine Ashton urged the UN Security Council to take a “clear stand on the need to end the violence”.
In a statement on Monday, she also announced further EU sanctions against members of the Syrian regime.
In an interview with the BBC on Monday, UK Foreign Secretary William Hague called for stronger international pressure on Syria.
“We do want to see additional sanctions. We want to see stronger international pressure all round. Of course, to be effective, that can’t just be pressure from Western nations, that includes from Arab nations, it includes from Turkey,” Mr Hague said.
Seeking military action against Syria, even with UN authority, was “not a remote possibility”, he added.
On Monday, President Assad praised the military for “foiling the enemies” of the state, the official news agency reported.
The Syrian government has promised reforms but says its troops are being attacked by “armed gangs” who are backed by unspecified foreign powers.
Tanks opened fire after a night of sporadic shooting, Hama-based activist Omar Hamawi told AP…
by Tactical-Life / Aug 1, 2011