The violence erupted Sunday, two days after the country's intelligence chief and seven others were killed in a Beirut car bombing. The bomb blast caused injuries to dozens of people, authorities said.
In the subsequent clashes, at least three people died and 17 were wounded in Tripoli and six people were hurt in Beirut, officials said.
Gunbattles broke out Beirut neighborhoods during the raids in the city, The Daily Star said.
Maj. Gen. Wissam al-Hassan, the intelligence chief, was killed Friday, the Lebanese newspaper said. His funeral was Sunday.
Security officials said investigators were collecting forensic evidence and examining footage from surveillance cameras at the site of the car bombing
The Beirut violence was in predominantly Sunni neighborhoods and those controlled by Hezbollah, the newspaper said.