A Londoner, a Canadian woman and three French nationals were among the eight people killed in Saturday night's attack in London.
Australian nurse Kirsty Boden was one of the victims of the London Bridge terror attack.
Her family paid tribute to her, saying: "As she ran towards danger, in an effort to help people on the bridge, Kirsty sadly lost her life.
"We are so proud of Kirsty's brave actions, which demonstrate how selfless, caring and heroic she was, not only on that night, but throughout all of her life."
Relatives said she was "loved and adored by her family, friends and boyfriend", while colleagues at Guy's and St Thomas' hospital in central London described her as "one in a million".
"She was the most outgoing, kind and generous person, who loved to help people. Helping people was what she loved to do in her job as a nurse and in her daily life," her family, who have asked for privacy, said in a statement.
Canadian Christine Archibald, who worked in a homeless shelter until she moved to Europe to be with her fiancé, was also killed in Saturday night's attack at London Bridge and Borough Market.
Ms Archibald's family said in a statement: "We grieve the loss of our beautiful, loving daughter and sister. She had room in her heart for everyone and believed strongly that every person was to be valued and respected.
"She would have had no understanding of the callous cruelty that caused her death."
According to his sister, Ms Archibald died in the arms of her fiancé, Tyler Ferguson.
Writing on Facebook, Cassie Ferguson Rowe said: "Last night in London my baby brother lost the love of his life on the London Bridge.
"In a split second his entire life was ripped away from him. Hearing his painful sobs on the phone while he's alone trying to deal with this tears me apart.
"I have no words. If you know Tyler, please be there for him now, and later when what happened sinks in, he's going to need us all."
James McMullan, 32, from Hackney, is believed to have been another of the victims.
He was last seen outside the Barrowboy And Banker pub and his sister said police told her his bank card was found on a body at the scene of the attack.
Melissa McMullan told Sky News: "While our pain will never diminish, it is important for us all to carry on with our lives in direct opposition to those who wish to destroy us and remember that hatred is the refuge of small-minded individuals and will only breed more.
"Words will never be able to match his essence, there will only ever be one James. Nowhere else will you find such humour and a unique personality, someone who puts friends and family above all others. He was an inspiration."
She added police told her they were unable to formally identify him until a coroner releases a report tomorrow.
Alexandre Pigeard, 26, was named by French media as one of those killed.
His family said he was a "marvellous son, a perfect older brother and a radiant young man".
Brittany news outlet Le Telegramme reported an account from Boro Bistro manager Vincent Le Berre, who told how Mr Pigeard was attacked by a terrorist in the bar near Borough Market.
"I managed to escape him, but my friend Alexandre did not have that chance. He was hit in the neck with a knife," he said.
According to French media, Mr Pigeard was from Caen, in Normandy, but had been living in London for more than two years.
Normandy news outlet La Manche Libre reported that Frederic Loinard, the mayor of nearby Colleville-Montgomery, where Mr Pigeard has family, confirmed the death to locals on Tuesday.
French chef Sebastien Belanger, 36, is also believed to have died.
The French foreign ministry has confirmed that a second French national died in the attack and Le Parisien daily newspaper named the dead man as Mr Belanger.
He was drinking at the Boro Bistro near Borough Market when the area came under attack.
Originally from Angers, western France, Mr Belanger has lived in London for several years and works at the Coq d'Argent restaurant in the City, The Daily Telegraph reported.
Police searching for French national Xavier Thomas, 45, who was in London for the weekend with his girlfriend Christine Delcros, have recovered a body from the River Thames.
The body was recovered near Limehouse, downstream of London Bridge, at around 7.45pm on Tuesday by specialist officers from the marine police unit.
Scotland Yard said formal identification had not yet taken place, but Mr Thomas' next of kin had been informed.
Mr Thomas is believed to have been struck by the terrorist's van on the bridge and witnesses reported him being thrown into the water.
Nathalie Cros Brohan said on Facebook on Monday that her sister, Ms Delcros, was seriously injured and taken to hospital.
The family of Spanish banker Ignacio Echeverria have confirmed he was killed in the London Bridge attack after trying to fend off a terrorist with his skateboard and help an injured woman.
According to Spanish media, relatives were told of the 39-year-old's death by Spanish ambassador Carlos Bastarreche, after the family flew to London yesterday.
His father, Joaquin Echeverria, had told the Associated Press that British authorities had not shared any information with them, but his son's employer, HSBC, had provided the services of a private detective to help with their search.
Family and friends of Australian Sara Zelenak have said she died in the attack as they posted tributes to her online.
Her father, Mark Wallace, shared a video of his daughter and wrote: "I really miss that funny little laugh."
Friend Elle Bishop said on Facebook: "I find solace in the fact that the hate that saw you taken from us, you have never felt inside, making you a remarkable young woman."
Ms Zelenak has not been seen since the attack after she became separated from friends on Saturday night.
Two Australians were confirmed among the dead by the country's minister for foreign affairs, Julie Bishop.
Ms Zelenak's mother, Julie Wallace, told Australian radio station 97.3FM her daughter had been travelling in Europe since March and was working as an au pair for a family in London, caring for two young boys
