There was no permit for the drone, which was to film construction on the Norra länken motorway, according to news agency TT.
The flight ban lasted for around an hour and at 1.15 p.m all flights to and from the small Stockholm city centre airport were allowed to resume. One flight from Brussels had been forced to divert to Arlanda while five planes were told to remain on the ground at Bromma. In all 300-400 passengers were affected by delays, according to the director of the airport, Peder Grunditz.
The incident is being investigated as a suspected breach of Swedish aviation law.