The Syrian Observatory for Human Rights reports at least 16 pro-government fighters, and 19 members of Al-Nusra and allied rebel groups have been killed in Aleppo.
The monitoring group said Lebanese Shi'ite Hezbollah fighters were fighting alongside government troops and other loyalist militia against jihadists and rebels.
One suicide bomber reportedly blew himself up. The clashes comes as a ceasefire brokered by the United States and Russia continues to largely hold across Syria.
However, the conditions of the truce do not apply to the fight against terrorist groups in the country. In areas where the Al-Qaeda linked Al-Nusra group is fighting alongside allied rebel groups, violence has been frequent throughout the ceasefire.