Coalition warplanes targeted rebel positions in Crater, Khor Maksar and other districts of Aden, which has seen heavy clashes between pro- and anti-government fighters.
Residents told AFP the rebels "randomly" shelled residential areas in the city, killing at least three civilians.
The rebels also shot dead four armed supporters of President Abedrabbo Mansour Hadi, medics and residents said.
The Saudi-led coalition launched the air war last month after the Iran-backed Shiite Huthi rebels seized control of the capital Sanaa and advanced on Aden, where Hadi had taken refuge before fleeing to Riyadh.