The strikes hit the only hospital for women and children in the town of Kafr Hamra, killing two staff. Syrian civil defence officials said they pulled 10 people alive from the rubble.
Kafr Hamra is close to the northern front line in the deeply divided city of Aleppo, where government troops have sealed the main route into opposition areas, effectively trapping nearly 300,000 residents.
Opposition fighters launched a counter-offensive last week, breaching the siege from the southern front. That road remains under fire, and the UN has asked for a ceasefire to allow aid into the area.
Health facilities have been frequently targeted in the civil war in Syria. Aid groups have said the month of July was one of the worst since the war began in 2011, with 43 facilities in opposition areas partially or totally destroyed.
Despite calls for a ceasefire and a promise from Russia of a three-hour respite to allow in humanitarian aid, there has been no let-up in the violence.
Other air strikes hit a market area in the south-western Aleppo province town of Urem al-Kubra, killing at least six people, according to the UK-based Syrian Observatory for Human Rights, which monitors the war in Syria.
Urem al-Kubra lies on the road linking Aleppo to the northern rebel-controlled province of Idlib, which has also witnessed intense bombings.