Our correspondent reported that the Hizb Allah fired rockets and opened artillery fire on Israeli army positions in Radar, Rueisaat and Samaqa, south of Lebanon. This is the first such attack in eight months.
In retaliation, Israeli warplanes bombed areas southwest of Kfar Shouba. The Israeli army also fired artillery shells and rockets on Hizb Allah positions, the correspondent said.
"The martyr Ali Hussein Saleh's groups in the Islamic Resistance attacked... Zionist enemy positions at Radar, Rouweissat al-Alam and al-Sammaqa using live and rocket weapons and hit them directly," said Hizb Allah in a statement.
The attack comes after a revered Hizb Allah member Ali Hussein Salah was killed in a car bomb in the group's Beirut stronghold on 2 August.
The Hizb Allah blamed Israel for the killing and had vowed revenge.
Meanwhile, Lebanese security forces detained three men for questioning over the killing of Salah, a senior Lebanese army source said on Friday.
"The martyr Ali Hussein Saleh's groups in the Islamic Resistance attacked... Zionist enemy positions using live and rocket weapons and hit them directly"
Hizb Allah statement
The three Lebanese were detained on Thursday night after security forces searching the area found sophisticated radio communication equipment in a building near the dead man's home, the source said, without naming the detainees.
It was not yet clear whether the three men detained had any links to Israel or were behind the bombing, the source said.
Senior Hizb Allah figures have been the targets of assassination attempts before, including the group's former leader Abbas al-Musawi, who was killed by Israel in 1992.