The new airstrike also hit an area that includes a school converted into a shelter for displaced people.
On Wednesday, an Israeli strike on a five-story building near the hospital killed seven Palestinians.
The new attack comes just days after Israel ordered 250,000 people to leave the city’s eastern neighborhoods.
Nasser Hospital is located in the western part, inside the humanitarian “security zone” designated by Israel.
This is the area where Palestinians have been asked to go, according to maps provided by the army.
The new airstrike also hit an area that includes a school converted into a shelter for displaced people.
Many of those ordered to leave eastern Khan Younis on Monday had taken refuge in overcrowded shelters and open areas in western parts of the city.