Kaylume Ramage was last seen on Telford Road in the north of the city on Wednesday, June 22, at around 11.30am.
He has not returned to his home in Howdenhall and police are growing concerned for his welfare.
Kaylume has a fair complexion and a shaved head. He has a slim build and is 5ft 9in. He was last seen wearing a black beanie hat, white T-shirt, a grey tracksuit top that was tied round his waist, grey tracksuit bottoms and dark trainers.
The teenager frequently visits Drylaw and Muirhouse in north Edinburgh and is believed to have travelled to these areas.