The gunman, identified by police as John Earnest, used an AR-type assault weapon, Gore said.
"I'm a little taken aback", said Phonea, who moved to Poway two weeks ago.
Newsom said "no one should have to fear going to their place of worship".
Local and federal officials haven't determined the motive of Saturday's shooting.
The shooting comes on the last day of Passover. Around the same time, a San Diego police officer spotted a vehicle matching the suspect's auto in the area, Police Chief David Nisleit said.
A law enforcement source told ABC News that it appeared that the suspect, who is a San Diego resident, fired more than 10 rounds. The severity of the injuries was not immediately clear. I respect him - even in spite of being injured he refused to go to hospital and he spoke.
A source told CBS News that the four people shot included a rabbi, a little girl, a man and a woman.
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Police in California have detained a man in relation to a shooting at a San Diego synagogue on Saturday afternoon that has one dead, and several injured.
Rep. Scott Peters, D-Calif., also posted on the social platform, condemning the act of violence: "Tragic news that a gunman has attacked Chabad of Poway synagogue, on this, the last day of Passover, a day that is supposed to be a celebration of faith and freedom". "Looks like a hate crime". He also tweeted about the off-duty Border Patrol agent who stopped the suspect. "We always walk with our arms around each other, and we will walk through this tragedy with our arms around each other".
The Sheriff's Department tweeted that eastbound Espola Road at Summerfield Lane and westbound Espola Road at Avenida Florencia would be closed through the morning of Sunday, April 28th.
Cantor Caitlin Bromberg of Ner Tamid Synagogue, down the street from the shooting scene, said her congregation learnt of the shooting at the end of their Passover services and that they were heading to Chabad of Poway to show support and help.
Officials say San Diego County deputies were called just before 11:30am (local time).
At least four victims have reportedly been hospitalized, and so far no fatalities have been reported, according to the Associated Press.
Poway is about 25 kilometers (15.5 miles) north of San Diego. "The synagogue is inviting young people worldwide to submit artwork in an art project called "#HeartsTogether: "The Art of Rebuilding." to cover adjacent fencing that surrounds the still-shuttered building.