Several number 83 bus services, which run between Courtenay Place and Eastbourne, have been cancelled.
By 4.30pm the estimated travel time to get from the Terrace Tunnel to Petone was already 74 minutes.
NZTA is asking drivers to consider taking alternative routes home as rush hour approaches.
"Crews are working to clear the slip but it is likely to significantly impact peak traffic time due to the safety risks involved and the need to get particular equipment to the site," NZTA said in a statement.
Waka Kotahi (NZTA) advises motorists to avoid the area if possible and consider using State Highways 1 and State Highway 58 as alternative routes.
Posts on social media show the queue has now stretched past the Terrace Tunnel into Wellington city.