Shaun Woodburn, 30, died after a disturbance in Great Junction Street.
Police Scotland said a 17-year-old was due to appear in court on Friday in connection with his death.
A 16-year-old has already been charged with murder and Mohammed Zakariyah, 18, has been charged with assault to injury. A man has also been charged with possessing an offensive weapon.
The 17-year-old is due to appear at Edinburgh Sheriff Court.
Police officers had been called to Great Junction Street at about 02:00 on Sunday 1 January after receiving reports of a disturbance.
Mr Woodburn, who played for Bonnyrigg Rose FC from 2012 to 2015, suffered serious injuries and was taken to the Edinburgh Royal Infirmary where he died later that day.
He was described by his family as a "fantastic and loving dad.
A fourth person has been arrested following the death of a former footballer in Leith on New Year's Day.