The world's largest online social network will keep running the service separately.
Menlo Park, Calif.-based Facebook said Thursday it bought ProtoGeo Oy, the Finnish company behind the app, for an undisclosed sum.
Launched in 2013, the Moves app has been downloaded 4 million times on Android phones and the iPhone. It lets people automatically track their runs, walks or bike rides and plots the user's routes on a map.
To move beyond its core service, Facebook is developing and acquiring different kinds of apps. This year, it announced a $19 billion deal for mobile messaging service WhatsApp and launched the news reader app Paper.