Bancroft was banned for nine months.
Smith and Bancroft on Wednesday indicated that they, too, would not challenge their respective bans.
Cricket Australia CEO James Sutherland said he hoped the trio would rebuild their careers.
"The events of Cape Town have severely affected the game. It has also been humbling to be reminded of the passion all Australians have for our great game.
"These are significant penalties for professional cricketers. They were not imposed lightly. We know the players will return to playing the game they love, and in doing so, we hope they rebuild their careers and regain the trust of fans," concluded Sutherland.
Warner, who was labeled 'the most hated man in Australia' for his part in the scandal, broke down in tears over the weekend when addressing media in Sydney.
He was slammed on social media afterwards for refusing to answer questions on whether any of his other teammates were involved in the tampering.
On Wednesday, former England test captain Michae Vaughan claimed Warner's low-standing in world cricket should be of no surprise to anyone because of his on-field behaviour.
Vaughan told the BBC he believed the lack of sympathy for Warner after his teary press-conference shows his lack of friends in the game.
"It's not been surprising to me that the whole world have piled in because, particularly David Warner, he has said quite a few things to a number of teams and a number of individuals," Vaughan said.
Vaughan also backed up claims by former teammate Nasser Hussain that Warner has abused everyone in the game except India, in order to protect his lucrative IPL deal.
"I think Nasser Hussain summed it up on television when he said he seemed to have abused every team other than the Indians, which potentially might have affected his IPL contract," Vaughan said.
