Nasrallah urged Lebanese not to hold protests in response to the resignation, saying "this will not lead to any result".
Prime Minister Saad Hariri upended Lebanese politics with his surprise resignation Saturday, which he delivered from Saudi Arabia.
Speaking in an interview on Future, an Arabic television channel owned by Hariri, he said Hariri was in Riyadh, adding there were "security threats to the prime minister and the kingdom is keen on his safety".
Earlier Saturday, al-Hariri announced his resignation while on a visit to Saudi Arabia, blaming the move on Iran and Hezbollah.
Assad and his Iranian-supported allies are now firmly in command of the war in Syria, in a humiliation to Saudi Arabia and the Gulf.
Hezbollah chief Hassan Nasrallah is set to address Hariri's resignation in a speech on Sunday, the Hezbollah-affiliated Al-Manar TV reported.
The government was formed late last year in a political deal that ended years of deadlock, and last month it produced Lebanon's first budget since 2005.
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Hocutt also praised the overall resumes for Notre Dame and Clemson, which each have multiple wins over teams in the rankings. As of week 10, some teams have continued their dominance while others, such as Penn State have been handed their first loss.
Hariri accused Hezbollah of using its weapons to impose a "fait accompli" in Lebanon.
Speaking from the Saudi capital Riyadh, Hariri cited Iran's "grip" on the country and threats to his life.
GCC member states banned travel to Lebanon in 2016 after Lebanon's Foreign Minister refused to condemn mob attacks on Saudi diplomatic missions in Iran.
Central Bank Governor Riad Salameh sought to calm fears the political turmoil would hit Lebanon's already fragile economy, issuing a statement to reaffirm the stability of its currency, which is pegged against the US dollar.
His father, Rafik al-Hariri, was prime minister after Lebanon's 1975-1990 civil war and was assassinated in a vehicle bombing in 2005.
Nasrallah questioned the timing of Hariri's announcement at a time when "things are proceeding normally.in the heart of government" in Lebanon. According to the Lebanese constitution, the Prime Minister of Lebanon must be a Sunni Muslim, the President a Christian, and the chairman of the parliament a Shiite Muslim.