Two people including a girl were killed in an Israeli attack on a southern Lebanese town on Saturday, state media reported, after Israel launched air strikes in response to cross-border rocket fire.

"The Israeli enemy strike on the town of Touline resulted... in the death of two people, including a girl, and the injury of eight others, including two children," the National News Agency cited the health ministry's emergency unit as saying, describing it as a "preliminary toll."

NNA had earlier reported a toll of one killed in Touline.

It came as the Israeli military said it was launching air strikes on Hezbollah strongholds in Lebanon after intercepting cross-border rocket fire.

The Israeli military said three rockets were fired from Lebanon into northern Israel, setting off air raid sirens in the region for the first time since a November ceasefire between Israel and the Iran-backed Hezbollah.

Lebanese Prime Minister Nawaf Salam warned the country risked being dragged into a "new war" after months of relative calm following a November 27 ceasefire between Israel and Lebanon. (AFP)