The $18.6 million cost includes $4 million already spent on bringing Shed 10 up to scratch for the Rugby World Cup. Ports of Auckland, which will manage the terminal, would chip in $2.5 million for gangway costs.
Next month, Waterfront Auckland will report to councillors on future options for the $9.8 million Cloud structure on Queens Wharf, built for the Rugby World Cup.
Mr Brown said refurbishment of Shed 10 was a good start for a cruise-ship terminal and building a highly desirable event space.
"For Auckland to gain maximum economic benefits from cruise it needs to become more cruise-friendly and invest in infrastructure.
"This is all about jobs for Auckland."
Auckland has just finished another record season of cruise-ship visits with 97, and 176,000 passenger arrivals.
The 2012-2013 season is expected to grow 25 per cent.
With council approval, construction could start in July and be completed by next May.