The MetService is reporting strong winds of up to 46km/h and gusts of almost 70km/h on the bridge at 8.46am.
Video footage taken from a traffic camera near the bridge shows a shaky clip and overhead motorways signs showing a 50km speed limit.
No indication of temporary closure at this stage
Road authorities have not said whether the bridge may need to be closed for some time, as a result of the strong winds.
That has happened a number of times since strong winds blew two trucks into structures on the bridge last September - causing huge delays on all of the city's motorways for days.
Today's gust warning comes just after a breakdown on the bridge caused some delays earlier.
A vehicle was blocking the far left lane heading north on the bridge.
Waka Kotahi NZTA issued a warning just after 7am.
A traffic camera shows the vehicle with its lights on still, as a line of vehicles starts to build around it.
An earlier crash on the Southwestern Motorway, State Highway 20, is also causing some delays early on.
Motorists travelling northbound are warned of delays just after Massey Rd as emergency services continue to work at the scene.