The award was made to David Maguire (35) by the President of the High Court Mr Justice Nicholas Kearns.
The judge noted that in the months after the accident Mr Maguire went on to win the Leinster heavy weight boxing championship and competed in the All-Ireland championships.
Mr Maguire, of St Ronan's Park, Clondalkin, Dublin, brought an action for damages arising out of an accident that occurred at the junction of Ballyfermot Road and O'Hogan Road, Dublin, on March 26, 2010, when the taxi he was a passenger in was struck from behind by an untraced and unidentified motorist.
Mr Maguire, who was wearing his seatbelt at the time, claimed that as a result of the impact he suffered injuries to his lower back and neck.
The action was against the Motor Insurers Bureau of Ireland, established by the Government and motor insurance firms to compensate victims of road traffic accidents caused by uninsured or unidentified vehicles and drivers.
Liability had been accepted and the case was before the court for the assessment of damages only.
Yesterday Mr Justice Kearns said he was satisfied from the evidence before the court that the injuries Mr Maguire sustained to his lower back were "moderate".
The judge said there was "no merit" to his claim that he suffered injuries to his neck.
In the circumstances the judge said that an award of €26,000 was appropriate. He also awarded Mr Maguire his costs of the action.
He also noted that Mr Maguire, who in no way had misled the court and had fought on with the pain in his back, hoped to turn professional.