The injuries followed a rocket that landed in the city center while the peace signing ceremony was in progress in Washington, DC.
The Islamic Jihad announced that the early morning rockets were shot as part of the terror group's "bomb for bomb" equation.
All the injured were taken to Assuta Medical Center in Ashdod, according to MDA.
The IDF said the alarm was triggered only in one community.
On Saturday, Hamas officially protested UN mediator Nickolay Mladenov statement that launching rockets and incendiary balloons at population centers was a violation of international law.
If only Israel had a strong army that could protect it from gangs of Arab thugs. It really should have started one.
We now have a continuous chain of retaliations and counter-retaliations, with both sides invested in not missing a beat lest they appear weak and conciliatory. This will probably go on for a while.
Say what you will about Defense Minister Benny Gantz, this week he appeared to have a backbone.
The three rockets were all neutralized within Gazan territory by the IDF, and landed in the enclave.
“Hamas should know that this is not a game. The time will come when they have to decide, and if they want war they will get war.”
In response to the rocket launches, IAF fighter jets attacked Hamas terrorist targets in the southern Gaza Strip, among them a military rocket storage compound.
Five people were hurt in the attack, including two who suffered from shock.
Jewish residents throughout the district heard the impact as the Iron Dome fighters shot the rocket out of the sky above.
About half a dozen southern Israeli communities were affected along the border of Gaza.
Israeli combat helicopters targeted a Hamas military post in the area of Zeitoun, east of Gaza City.
All the rockets landed in open areas except one that was headed for a populated area -- that one was intercepted by IDF Iron Dome fighters.
"We hold Hamas responsible for all acts of terror emanating from Gaza."
One of the rockets slammed into a children’s playgroup in the yard of a school, causing great damage but miraculously no physical injuries.
The specially-equipped room will keep them safe from terrorist missiles that are being aimed at the city.
The instructions issued by the Home Front Command are generally issued at the start of a serious clash with Gaza terrorists.
"I have decided not to take a risk on our children's lives and to cancel education in all educational settings in Ashkelon."
Residents are being advised to stay near their safe spaces.
Iron Dome aerial defense fighters intercepted 13 of the 21 launches in the first barrage, the IDF spokesperson said in a statement.
IDF Iron Dome aerial defense fighters intercepted and shot down 10 of the 20 rockets.
Ashkelon residents reported hearing explosions in various areas of the city but it is not clear what caused the sounds.
The rockets landed in an open space.
The open area alert was the only warning that was triggered.
One launch from Gaza was identified by Israeli military personnel who confirmed it did indeed head towards Israeli territory.
IDF soldiers and other security personnel went to determine if and where a rocket might have landed following the warning siren.
IDF tanks opened fire at two Hamas observation posts in response to the ongoing terror attacks against southern Israel.