The accident happened around 2:30 am near the Xylotymbou roundabout.
Under conditions which are being investigated, the buggy car that the 25-year-old was driving rolled over.
A 31-year-old was in the passenger seat.
Both men were transferred to Larnaca General Hospital, where doctors declared the 25-year-old dead.
The 31-year-old was released after receiving first aid.
None of the men were wearing seat belts.
Police are continuing investigations.