An Israeli strike in Lebanon's Beqaa region has killed two members of a Lebanese militant group that has fired rockets across the southern border at Israel, the group said on Friday.

Israel's military said in a statement on Friday that its air force "struck and eliminated Mosab Khalaf in the area of Meidoun in Lebanon," saying he was a member of the Jama'a Islamiya group and had carried out attacks against Israel.

In a statement, the Jama'a Islamiya said two of its field commanders - Khalaf and relative of his - were killed in the strike.

A security source in Lebanon confirmed that Khalaf was a local official in the group's armed wing, the Fajr forces. The group has previously fired rockets at Israel.

It was the first time Israel has confirmed having targeted a member of the Jama'a Islamiya in Lebanon, although more than a dozen members of the group have been killed in strikes in Lebanon, including targeting members of Palestinian faction Hamas in Lebanon.