Zoe Nelson, 17, had last been seen leaving her home on Saturday at 5pm.
Her body was found near Branchalfield Drive in the Cambusnethan area of Wishaw, North Lanarkshire.
Ms Nelson was from Newmains in Lanarkshire, around a mile from where she was found.
Officers said her family was “devastated” by the death.
Police said they were treating her death as murder following a post-mortem examination.
Detective Superintendent Derek Robertson, from Strathclyde Police’s major investigation team, said: “From our inquiries so far we know that Zoe left her home on Saturday evening around 5pm. However, we do not know where she has been between then and when her body was found. We would obviously be very keen to find out where she was and who she was with between Saturday at 5pm and 4.20pm on Sunday.
“Zoe is described as 5ft 6in tall, of heavy build, with collar-length brown hair. She was last seen wearing grey tracksuit bottoms, a white long sleeved T-shirt and black Nike trainers. She is known to frequent the Newmains, Cambusnethan and Coltness area.”
“She was popular girl and well known in the area. No family should have to go through this and we are determined to catch the person responsible for this horrific attack.”
The area where the teenager’s body was found remained cordoned off as a forensic search continued.