"We have cleansed all the districts of Damascus, from al-Midan to Mazzeh, from al-Hajar al-Aswad to Qadam… to Tadamun,” said the general, whose name was not mentioned in the report.
Meanwhile, insurgents kidnapped a Syrian TV cameraman in Damascus. Earlier on Saturday, the security forces discovered a mass grave of the bodies of civilians and Syrian army members near the capital.
In the western province of Hama, the Syrian army carried out an operation on Saturday, killing dozens of insurgents in the town of al-Rastan, about 184 kilometers (114 miles) north of Damascus.
Many people, including large numbers of security forces, have been killed in the turmoil in Syria that began in March 2011.
On August 3, the UN General Assembly passed a non-binding resolution on Syria, proposed by Saudi Arabia, which criticized the Security Council and the Syrian government.