Selected flights did however resume shortly after 1pm on Wednesday, according to the TT news agency.
Earlier, Bromma Airport operator, Swedavia, told Swedish Radio News that services were not expected to resume until 3pm.
Bromma was closed to incoming flights throughout the morning, although some departures were possible.
A spokesman for Swedavia encouraged travelers to contact their airlines for further information.
Stockholm's main airport, Arlanda, has been unaffected by the foggy conditions.