Separately, the Israeli military said it downed a drone that had crossed into Israel from Lebanon. It did not say how the aircraft was brought down. There was no immediate word from the Lebanese side but the militant Hezbollah group has sent drones into Israel's airspace in the past.
Syria's state-news agency SANA quoted an unnamed military official as saying the missile attack took place shortly before dawn when Israeli warplanes flew over neighboring Lebanon.
The Syrian military official said the attack was aimed at several targets in and near the central province of Hama. It added that Syrian air defense units shot down most of the missiles.
The official said the strike killed a family of four, including the parents and two children. The strike also wounded four others, including two children, and destroyed three homes on the western edge of the provincial capital of Hama, SANA quoted the official as saying.
State TV said the family that was killed had been displaced by Syria's nearly 10-year conflict.
The Britain-based Syrian Observatory for Human Rights, an opposition war monitoring group that tracks Syria's civil war, said the strikes targeted five posts for Iran-backed fighters based within Syrian army positions.
It said the posts were destroyed, adding that parts of one of the air defense missiles fell on a residential area, causing the casualties among civilians.
It was Israel’s first strike on Syria since President Joe Biden took office.
Tension has been high in the Middle East in recent weeks around the anniversary of the U.S. killing of Iran’s Revolutionary Guard commander Qassem Soleimani in Baghdad last January.
Last week, Israeli warplanes carried out intense airstrikes in eastern Syria, apparently targeting positions and arms depots of Iran-backed forces. At least 57 fighters were killed and dozens were wounded, according to monitors.
The Observatory said it recorded 39 Israeli strikes inside Syria in 2020 that hit 135 targets, including military posts, warehouses and vehicles.
Israel views Iranian entrenchment on its northern frontier as a red line, and has repeatedly struck Iran-linked facilities and weapons convoys destined for Hezbollah. The latest strikes also come amid intensifying low-altitude Israeli warplane missions in Lebanese skies that have caused jitters among residents.
Mroue reported from Beirut. Associated Press writer Fares Akram in the Gaza Strip contributed to this report.