Meanwhile, Interior Minister Nouhad Mashnouq said in remarks published Monday that the Tripoli gunmen numbered no more than 200 and were from both Lebanon and Syria.
The Syrian war has triggered Lebanon's worst instability since its own 1975-90 civil war. There have been several rounds of fighting in Tripoli since the Syria war erupted in 2011.
Political conflict has left Lebanon without a president since May when President Michel Sleiman's term expired.
Fighting in Syria has divided its smaller neighbor along sectarian lines, with Sunnis supporting Syrian rebels and Shiites backing President Bashar Assad. Hardline Islamist groups have won a degree of support among Lebanese Sunnis.
Politicians across Lebanon's deeply divided political field have condemned the violence in Tripoli, Lebanon's second largest city and a historic base for Sunni Islamist groups.