The US State Department has demanded that Hezbollah withdraw its fighters from Syria immediately.
He added that Iran was actively supporting Hezbollah's involvement - a claim denied by Tehran.
Mr. Suleiman, in turn, cautioned Hezbollah on Friday against acting against the interests of national security.
From heat waves to Hezbollah rocket strikes, it can feel like the world is coming apart.
The airstrikes have riled Syria's allies in the region: Iran and the Lebanese militant group Hezbollah.
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Until recently, Hezbollah moved cautiously to avoid upsetting a delicate political balance within Lebanon.
However, at least so far, Israeli officials say there will be no negotiations with Hezbollah.
In northern Israel, one woman was killed when a rocket fired by Hezbollah hit her house.
It has warned the populations to get out of the areas where it's battling Hezbollah.
Instead, prosecutors sought the arrest of four members of the pro-Syrian Shia Islamist movement, Hezbollah.
The allegation of a Hezbollah connection is "without merit, " says Robert Forrest, Chahine's lawyer.
Officially, Lebanon's government and Hezbollah's policy has been to "disassociate" the country from the Syrian conflict.
WSJ: As Syrian Crisis Intensifies, Fight Bleeds Into Lebanon
The Obama administration backs the unity government of Sleiman, while Syria is allied with Hezbollah.
But efforts to undermine the group have been blunted by Hezbollah's strong local support within Lebanon.
The U.S. has asked the Egyptians to pressure the Syrians to reign in Hezbollah.
Until now, the EU has not followed the US lead in labelling Hezbollah a terrorist organisation.
Now, it appears the tide is turning once again in Lebanon, this time in Hezbollah's favor.
CNN: Analysis: Hezbollah win could shake Obama Mideast policy
Cyprus is gearing up for third-country nationals as it did during the Israeli-Hezbollah war last decade.
Syrian rebels and the opposition have accused the Lebanese Shia group Hezbollah of attacking Syrian villages.
The United States considers Hezbollah a terrorist group and supports Lebanon's government.
CNN: Lebanon officials reverse decisions that set off violence
Until now, Europe has refused to follow the US lead and label Hezbollah a terrorist organisation.
At the news conference, Foreign Minister Livni said much of Hezbollah's weaponry comes from Syria.
Israel has made clear it won't agree to a cease-fire until Hezbollah's military positions are dismantled.
Germany says it will contribute troops but insists that Hezbollah agrees, and that's not very likely.
Lebanon's elected, pro-Western government has long been locked in a power struggle with Hezbollah.
The war lasted 34 days, during which Hezbollah launched more than 4, 000 missiles against Israel.
If Israel no longer occupies Shebaa Farms, Hezbollah could have a harder time making that argument.
Iran and Hezbollah are predominantly Shia, while Mr Assad's Alawite sect is an offshoot of Shia Islam.
Lebanon's Shia militant group Hezbollah - a close ally of the Syrian government - condemned the bombing.
President Barack Obama has expressed concern to Lebanese President Michel Suleiman over Hezbollah's role in Syria.
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