It follows a patent dispute between the Finnish company and Blackberry's parent, Research In Motion (RIM).
Nokia says an earlier ruling means RIM is not allowed to produce devices that offer a common type of wi-fi connectivity until it agrees to pay licence fees.
All current Blackberries would be affected. RIM had no comment. It is the latest legal distraction for the Canadian company as it prepares to launch an operating system that could determine its survival.