It occurred at 11.30pm on Sunday 2 September 2012, at the junction of Camwal Road and High Street in Starbeck.
As a result of the incident a local man aged 30 suffered minor injuries and a 46-year-old man suffered head and arm injuries.
They were both taken to Harrogate District Hospital for treatment, where they were treated in the Emergency and Accident Unit.
Detective Constable Matt White, of Harrogate CID, said:
I know that there were a number of people in the area at the time and I am asking them to contact the police if they have not already done so.
Anyone who can help the police with their enquiries is asked to contact Harrogate police on 101, press option 2 and ask for Matt White. Alternatively information can be emailed to firstname.lastname@example.org
Alternatively call Crimestoppers anonymously on 0800 555 111 quoting reference number 12120146750.