In a televised speech, Nasrallah said that Tuesday's huge explosion in the Lebanese capital was an exceptional event in the country's modern history which required internal unity and calm, and that it should not be politicized.
Beirut has received a stream of global assistance since the blast, and on Thursday hosted French President Emmanuel Macron, who pressed Lebanese leaders for deep reform ahead of an aid conference planned in the coming days.
He said this presented an opportunity for Lebanon, already deep in financial crisis.
The UN human rights office has called for an independent investigation into the Beirut explosion, insisting that "victims' calls for accountability must be heard".
Lebanon's leadership was already deeply unpopular, with a wave of mass protests that erupted in October previous year only abating in the face of the coronavirus pandemic.
According to Lebanon's state-run National News agency, the lady had some staff members killed and wounded.
Rescue teams were still searching the rubble of Beirut's port for bodies on Friday, almost three days after a massive explosion sent a wave of destruction through Lebanon's capital, killing almost 150 people and wounding thousands.
Tuesday's devastating blast has prompted numerous conspiracy theories.
On Thursday, a Turkish military plane carrying aid and a search and rescue team arrived in Beirut.
UNICEF added it lost 10 containers of personal protective equipment (PPE) in the blast and has placed an order to replace the items.
French and Russian rescue teams with dogs are searching the area, and at least three more bodies were recovered in the last 24 hours, bringing the death toll to 149.
Many in Lebanon are livid at the government for its apparent negligence in storing the highly explosive material so close to the country's major population center.
Initial Lebanese probes have pointed to an ammonium nitrate cargo, which was abandoned in Beirut, as the source of the blast.
The blast shredded a large grain silo, devastated neighbourhoods near the port and left several city blocks littered with glass and rubble.