At least eight people were killed when the helicopter came down on to the roof of the Clutha Vaults pub in Glasgow on Friday night.
Those on board the helicopter have been named as pilot David Traill, and police officers Kirsty Nelis and Tony Collins.
Police Scotland Chief Constable Stephen House said both constables were members of the helicopter unit and had both previously been commended for acts of bravery.
Chief Constable House said: “Kirsty and Tony were members of the Police Scotland operations support division. They were part of the helicopter unit. Captain Dave Traill had worked with the police for over four years and was very much a part of our team.
“Both the officers involved had previously been commended by the police by bravery in different acts.”
Pc Collins was 43 years old, Pc Nelis was 36 and captain Dave Traill was aged 51, police said.
The popular pub had been packed with more than 100 people who were there to see a band. Thirty-two people were taken to hospitals throughout the city with 12 still in hospital; three of them in intensive care.
Deputy first minister Nicola Sturgeon visited some of those who were injured in Glasgow Royal Infirmary. She said: “I’ve been really humbled by some of the stories that I’ve heard over the weekend. I’ve spoken to health service staff who reported when they weren’t even on duty, and those are stories that are replicated across the city.
“The public have been marvellous as well, from people who rushed to the scene on the Friday night . . . to folk queuing up to give blood yesterday.”
Police Scotland last night named one of the victims inside the pub as Gary Arthur, 48, from the Paisley area. His daughter, Celtic and Scottish women’s footballer Chloe Arthur, 18, wrote on Twitter: “RIP dad. you’ll always mean the world to me, I promise to do you proud, I love you with all my heart.
“Thanks to everyone who has tweeted me, text me etc, means so much, I have the most amazing friends ever.”
Rescuers were last night still at the scene.