Barak told his backers that he wanted to send a "strong hand" of support to those Israeli citizens in northern communities who were spending the night in shelters.
That support came on Wednesday, when Israeli warplanes attacked suspected Hezbollah positions just north of the security zone. Two planes fired a total of four rockets, according to Reuters. There were no immediate reports of casualties in the raid, which raised to 58 the number of Israeli air attacks on Lebanon since the start of 1999.
This week, Barak also repeated a campaign promise to withdraw Israeli troops from southern Lebanon within a year.
Barak has promised to re-open negotiations with Syria, the leading power broker in Lebanon, in an effort to bring peace to Israel's last remaining war zone.