Robert Thomson, 18, from Bellshill, was last seen on Friday 3 June and reported missing by his family two days later.
Police said the body found in woods near Kilbrennan Drive, Motherwell, had yet to be formally identified but was believed to be Mr Thomson.
A post-mortem examination will be held to establish the cause of death, which is not being treated as suspicious.
A body found near Strathclyde Park in Motherwell is believed to be that of a missing teenager, police have said.