"The rocket targeted an ambulance facility and residential building of administrative workers of the Taba hospital," Egypt's Al Qahera News TV said, quoting sources as saying that the blast was related to Gaza conflict, Xinhua reports.
TV footage showed damage in the building.
"The victims suffered slight injuries, and already left hospital," the report added.
Egypt reserves the right to respond in due course, security sources told Al Qahera News TV.
On Sunday, some Egyptian soldiers were slightly injured by fragments of an Israeli tank shell that accidentally hit an Egyptian army watchtower along the border, according to a statement from the Egyptian army.
RHM/PR