Israeli forces struck Dar al-Hawra Medical Centre in southern Beirut's Harek Hreik several times overnight, adding to one of the most intense days of bombardment in the capital, according to the National News Agency (NNA).
The strikes came after Israel issued an evacuation of the area.
There are currently no reports of casualties.
At least 20 people were killed and 13 injured in Israeli air strikes in the Mount Lebanon area, the Lebanese health ministry said on Tuesday.
One strike on the Joun in Chouf district of Mount Lebanon killed 12 people and injured eight, the ministry said.
Another, on the town of Baalchmay, killed eight and injured five, the ministry added.
In the south, five people were killed in an Israeli strike on Tefahta, two in a raid on Nabatieh and one in the coastal city of Tyre. Another person was killed in a strike in Hermel in the northeast, the ministry said.
Fighting between Israel and Lebanon's Iran-aligned Hezbollah was continuing in Lebanon as the Israeli military pounded Beirut's southern suburbs with air strikes on Tuesday, mounting one of its heaviest daytime attacks yet on the Hezbollah-controlled area.
A rocket exploded in a storage building in the northern Israeli town of Nahariya on Tuesday, killing two people, first responders said. Another two people were wounded by shrapnel in a separate impact outside the town.
Israel has been carrying out intensified bombardment of Lebanon since late September, vowing to cripple Hezbollah and stop more than a year of cross-border fire by the Lebanese group.