Withings' products include activity trackers, weighing scales, thermometers, blood pressure monitors and baby monitors built on a digital platform.
"We have said consistently that digital health was an area of strategic interest to Nokia, and we are now taking concrete action to tap the opportunity in this large and important market," Nokia CEO Rajeev Suri said in a statement.
Withings will be part of the group's small Nokia Technologies unit which includes its patent portfolio and some consumer products, including a virtual reality camera and a Nokia-branded tablet computer made by a third party.
Withings has about 200 employees. The deal is expected to close in the third quarter.
© Thomson Reuters 2016