A father and son have been identified as the alleged shooters in a terrorist attack at Sydney’s Bondi beach, as authorities confirm the death toll from the massacre has risen to 16, including one child.

The Australian prime minister, Anthony Albanese, said the shooting was “an act of pure evil, an act of antisemitism, an act of terrorism on our shores”.

It is Australia’s worst mass shooting in 29 years.

A police statement on Monday said 14 people died at the scene, with two more dying in hospital overnight. They said 40 people were injured.

The child who died, a 10-year-old girl, was one of four children taken to Sydney Children’s Hospital following the attack. A 40-year-old man also died in hospital.

Those killed range in age from 10 to 87, police said.

Albanese said Bondi beach was a place associated with joy and celebrations but was “forever tarnished by what has occurred last evening”.

“This was an attack deliberately targeted at the Jewish community. On the first day of Hanukkah, which of course should a joyous celebration and the Jewish community are hurting today.

“Today all Australians wrap our arms around them. And say we stand with you. We will do whatever is necessary to stamp out anti-Semitism. It is a scourge and we’ll eradicate it together.”

The New South Wales premier, Chris Minns, said Australia needed to “send a strong and clear repudiation of antisemitism in all of its forms”.

“There is no tolerance for racism or jewish hatred anywhere in New South Wales or Australia and we need to be clear and unambiguous that we’ll fight it everywhere we see it, whether it’s destructive, horrible acts of violence, or chants, mottos and internet posts on the internet,” Minns said.

Minns said there needed to be a time for mourning, and urged anyone who wanted to help in a practical way to donate blood.

One of the alleged gunmen, a 50-year-old man, was among the dead. In a statement on Monday, NSW police said the man was shot by police and died at the scene. The other alleged shooter, a 24-year-old man, suffered critical injuries and was taken to hospital under police guard.

The NSW police commissioner, Mal Laynon, confirmed on Monday that the two alleged shooters were father and son, and that police were not looking for a third shooter.

“The 50-year-old male is a licensed firearms holder,” Laynon told reporters. “He has six firearms licensed to him. We are satisfied that we have six firearms from the scene yesterday, but also as a result of the search warrant at the Campsie address. Ballistics and forensic investigation will determine those six firearms are the six that were licensed to that man, but also they were used in the offence yesterday at Bondi.”

Minns said law reform on gun licenses would “almost certainly” take place after the attack.

“I think in these circumstances it’s important that no stone is left unturned and NSW police are given time to conduct that investigation, but we have to do everything we possibly can to ensure that this doesn’t happen again.”

Laynon told reporters that the younger man was known to police. He said the pair had been staying at an address in Campsie.

Police declared the shooting a terrorist incident on Sunday evening,

Laynon said police found two “basic” explosive devices at the scene.

“They were found to be active devices,” he said. “So they were taken back and rendered safe by our police, who do a professional job.”

Albanese said he and Minns attended a briefing with the Australian Security Intelligence Organisation, the Australian Federal Police and NSW police on Monday morning, and would “dedicate every single resource that is required in responding to this”. He praised first responders, including civilians who rushed in to help and stop the alleged gunmen, as showing “the best of the Australian character”.

Police said they had closed Bondi Beach and surrounding roads on Monday to allow detectives from the Joint Counter Terrorism Team to investigate, but some people were walking and swimming at the beach early in the morning.

Items left behind by those fleeing the shooting are strewn along footpaths and parks: shopping bags, bike helmets, sandals, boxes of food of takeaway food.

Runners and dog walkers could be seen to stop or slow as they neared the beach.

King Charles III issued a statement overnight, saying he was “appalled and saddened”.

“In times of hurt, Australians always rally together in unity and resolve,” he said. “I know that the spirit of community and love that shines so brightly in Australia – and the light at the heart of the Chanukah Festival – will always triumph over the darkness of such evil.”

Among those killed was London-born rabbi Eli Schlanger, 41, who was assistant rabbi at Jewish cultural centre Chabad of Bondi; and Alex Kleytman, a Ukranian born holocaust survivor. The Israeli foreign ministry has also said one of the victims was an Israeli citizen.

Among the injured was a bystander who tackled and wrestled a gun from one of the alleged gunmen.

Public Hanukah celebrations in Melbourne ended early on Sunday as news of the attack spread.