Five robots are said to have hit the house in the Basta neighborhood, according to the news agency. The attack has left a large crater at the site, as shown by images from AP. Rescue workers are searching for people in the rubble.
At least four have died and 23 been injured, according to Hizbollah's TV station al-Manar, which refers to Lebanon's Health Department.
At least three powerful explosions were heard in the Lebanese capital during the night, reported AFP at 03.20 Swedish time.
Israel launched several airstrikes against the city's southern suburbs just before midnight, local time. AFP journalists then reported at least three explosions, one of which was more powerful.
Earlier on Friday, an 11-story building was also destroyed in an attack on an area in southern Beirut where Hizbollah is reported to have a strong presence.
In Baalbek in southern Lebanon, seven healthcare workers were killed in an Israeli airstrike on Friday, according to Lebanon's Health Department. One was the head of Dar al-Amal University Hospital and the attack is said to have targeted a residence near the hospital.
The department condemned "the continued Israeli aggression against medical personnel and medical facilities".