Several thousand activists kept up the demonstrations at a central square in Kiev, the capital, and besieged government meetings as the Organisation for Security and Cooperation in Europe's ministerial council began its meeting on the other side of the river. The meeting had been scheduled long before the protests that have been dominating the country.
US Undersecretary of State Victoria Nuland challenged Ukrainian authorities to meet the protests constructively.
"This is Ukraine's moment to meet the aspirations of its people or disappoint them," she told the OSCE meeting. "Democratic norms and the rule of law must be upheld."
"We will do everything we can to ensure this is a peaceful protest," Azarov said.
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Azarov has also warned several pro-EU western cities in Ukraine which have gone on a strike that the central government in Kiev might cut off funding to them.
The protesters are demanding that the government resign and that early elections be called.
Azarov chided the demonstrators, who have occupied or blocked government buildings, saying they are contradicting the values that they claim to support.
"That is not the European way forward," Azarov said of the building occupations.
He also said Ukraine remains committed to moving forward with the EU association and characterised Yanukovych's shelving of the signing as only a pause.
Ukraine says it cannot absorb the trade losses with Russia it likely would suffer if it had signed the EU agreement last month.