Four more workers, presumed dead, remain missing.
Six construction workers were lost in the bridge.
The US Coast Guard says it is suspending its search and rescue efforts.
A massive cargo ship ploughed into the bridge causing it to crumble with cars and people plunged into the water below.
The container ship Dali was involved in an accident in the port of Antwerp, Belgium, in 2016.
At least six people remain unaccounted for.
It is expected to take several hours to fully clear the road.
Emergency services were called to Albert Street in Preston where the man's body was found this morning.
The road was closed while the Serious Crash Unit examined the scene.
A third Kiwi, who was injured in the avalanche, has also been named.
Police said initial indications suggest there are serious injuries.
Two Kiwis were killed in the avalanche.
Bridges says he feels "very lucky" his injuries aren't worse.
An investigation into the cause of the crash was underway, police said.
The incident happened on Peach Parade on Wednesday morning.
One person died and another two were seriously injured after a vehicle rolled on west Auckland's Muriwai Beach.
"Life's precious, moments like this, you reflect on things. Don't take things for granted."
Video from the scene shows first responders and rubble in the street between two buildings.
Motorists are asked to avoid the area.
Both deaths have been referred to the Coroner.