Hezbollah leader Hassan Nasrallah was killed in an Israeli airstrike on Friday.
Israel is firing strikes into Lebanon as the conflict in the Middle East intensifies.
Israel believes it has eliminated around 30 top Hezbollah leaders over the last several weeks, including Hezbollah leader Hassan Nasrallah, who was killed in an Israeli airstrike in Beirut on Friday, U.S. and Israeli officials said.
At least six people were killed and 15 others were wounded after Israel carried out a strike on the Ghobeiry neighborhood of Beirut on Tuesday, according to the Lebanese Ministry of Public Health.
It appears the top floor of a concrete apartment building took the brunt of the strike.
The U.S. is continuing to urge Israel to avoid an "all-out war" with Lebanon as tensions between the two countries remain high, National Security Council spokesperson John Kirby said in an interview on "Good Morning America" Tuesday.
"I think we don't believe it's in Israel's interest for this to escalate, for there to be an all-out war there on the north on that blue line between Israel and Lebanon. If the goal is to get families back to their homes, we think there's a better way to do that than an all-out conflict," Kirby said.
"The Israelis will tell you, yesterday, that they had to take some of these strikes because they were about to be imminently attacked by Hezbollah. They do have a right to defend themselves, but what we're going to keep doing is talking to them about trying to find a diplomatic solution here, a way to de-escalate the tensions so that the families can go back in a sustainable way," Kirby added.
Given the State Department's warning to Americans to get out of Lebanon while commercial travel is still available on if he believes Israel may target airports in Lebanon as they have in the past.
"We want to make sure that there are still commercial options available for Americans to leave, and they should be leaving now while those options are available. But I won't get ahead of operations," Kirby said.
Kirby also dodged questions on what we might see from Hezbollah's response to Israel, telling GMA he "won't get into the intelligence assessment."
"It's obviously going to be something we'll monitor very, very closely. I will just tell you that while we won't get involved in the conflict itself there, around that blue line, because we don't want to see a conflict at all. We'll do what we have to continue to do to make sure Israel can defend itself."
At least 558 people have been killed -- including 50 children and 95 women -- and another 1,853 people wounded by Israeli strikes in Lebanon since Monday, according to the latest data from the Lebanese Ministry of Public Health.
Officials released the updated figures during a press conference on Tuesday.
The Israel Defense Forces said it struck at least 1,600 targets in Lebanon over the past 24 hours.
-ABC News’ Ghazi Balkiz and Morgan Winsor
Thousands of people fled their homes in southern Lebanon after Israel killed hundreds in intensified airstrikes through Monday and Tuesday.
The mass movement of people -- encouraged by the Israel Defense Forces before and during its expanding bombing campaign -- prompted gridlock on highways running north toward the capital Beirut.
A journey that usually takes 90 minutes took up to 13 hours.
Authorities are working to turn schools and other educational institutions into makeshift shelters to house displaced people.
-ABC News’ Joe Simonetti
