Israel's Consul General in Los Angeles Sam Grundwerg released a statement that "I have not received any information on Israeli victims" in the incident.
Reports say the suspect, who is described as wearing dark clothing, may have used smoke grenades as well as a gun in the attack.
Witnesses said many of those inside were college students.
The gunman is still on the loose, reported ABC7 Eyewitness News, which showed images of the Borderline Bar and Grill, in Thousand Oaks, California, surrounded by dozens of police vehicles.
Several witnesses told ABC 7 the man was armed with a handgun opened fire inside the Borderline Bar & Grill in Thousand Oaks.
A shooter opened fire at a bar in Thousand Oaks on Wednesday night, leaving at least 11 people injured, California authorities said.
"I don't know the status of those six people or if one of those six is the shooter, it's still very fluid".
Officers at the scene told the newspaper that about 30 shots had been fired. Active law enforcement incident.
He said responding deputies could hear gunshots as they arrived on scene.
One witness saw the suspect tossing smoke bombs in front of the restaurant before watching a security guard get shot.
The bar is a country-themed bar known for its large dance floor and live music events, according to its website.
"Please stay away from area", the department urged in a tweet.