The barge is a drilling rig to enable piles to be driven into the seabed for the new marina.
"The protester Warren Matahaere is still on our barge. We can't do anything until the protester leaves or is removed," a Heron Construction spokesman told the Herald yesterday.
Matahaere attended his first court appearance this morning.
Court charging documents show Matahaere faces one count of possession of cannabis, one of wilfully trespassing on Kennedy Point Bay Marina construction zone after being warned to stay off and one count of being found without reasonable excuse at Kennedy Point Bay Marina construction zone.
One protester claimed Matahaere, known to them as Koro Warren, was "held in the cells" overnight in a video posted to social media.
The video shows supporters holding tino rangatiratanga flags as they entered court this morning and filling up the hallways.
Matahaere will next appear on September 2.
Protect Pūtiki has raised more than $15,000 for its plight through Givealittle.