Medical services spokesman Adham Abu Salmiya said two people were evacuated to Shifa hospital, one of whom was in a critical condition.
The dawn airstrike hit a naval police post in the Sudaniyya neighborhood of Gaza City, a Ma'an correspondent said.
Witnesses also said Israeli fighter jets fired at a poultry farm in Rafah in the southern Gaza Strip early Wednesday morning. No injuries have been reported.
An Israeli army statement said the strike "targeted two weapon storage facilities ... The sites were targeted in response to the rocket fire on communities in southern Israel."
On Tuesday afternoon a rocket fired from the Gaza Strip landed in southern Israel, without causing damage or injuries, the Israeli army said.
Israeli airstrikes on the Gaza Strip since Friday have injured 15 Palestinians, with two men later dying of their wounds.
On Friday, a Palestinian gunman had breached the southern Gaza border and opened fire on Israeli soldiers, who returned fire, the army said. A soldier and the Palestinian were killed.