The last reported death was 46-year-old father of two Craig Carter, who died after jumping in 2009.
The park is managed by Auckland Council which has worked hard on safety at the site, Mr Carlson said.
Before Mr Carter's death, various tracks to the top of the falls were improved or closed, extra signs installed and fencing improved.
Since then signs at the bottom of the falls had been enlarged in collaboration with Water Safety NZ.
The council website advises that waterfall pool is considered unsafe, and filled with cold, deep water.
Following yesterday's death, Mr Carlson had spoken to Water Safety NZ about a further review however it would be difficult to fence the pool and that would affect the scenic appeal.
``It's quite a difficult area to manage,'' Mr Carlson said. ``We get large visitor numbers there throughout the year - it's one of our most visited locations - but we'll be looking at that as part of the review.''
The tourist who died yesterday had travelled to New Zealand by himself, police said. He was at the falls with friends from New Zealand who were not family members.