The neighborhoods have been at odds for decades, but skirmishes began to flare with increasing intensity after the Syrian uprising began three years ago.
The latest bout of fighting began building after Oct. 14, when a Lebanese military prosecutor pressed charges against earlier this month against seven men, at least one whom from Jabal Mohsen, for their involvement in twin bomb blasts near two Sunni mosques in Tripoli on Aug. 23 that killed 47 people.
Five other suspects were charged in late August.
The clashes underscore how deeply intertwined the fates of Syria and Lebanon are.
Syria's civil war has cleaved along the country's sectarian lines. Majority Sunni Muslims dominate the revolt, which began in March 2011, while Christians and other Muslim sects have stood largely with Assad's government.
Lebanon shares its northern and eastern border with Syria. Lebanon's Sunni leadership has mostly supported rebels, while Alawites and Shiites have tied their fate to the Assad government. All sides have sent fighters to battle on either side of the Syrian war.
Meanwhile, in the eastern Bekaa valley, Lebanese soldiers shot and killed two Syrian gunmen in a firefight Thursday after they refused to halt their vehicle, security officials said.
The security officials spoke on condition of anonymity as they were not authorized to publicly brief to journalists.
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Associated Press writer Diaa Hadid contributed to this report.