"It's especially disappointing when the vast majority of NBL representatives have been conducting themselves with absolute professionalism – this small group of players cast a shadow over that and have let others down in this competition. They have apologised and are feeling sheepish about it," Nelson said in a statement.
"The NBL has a Code of Conduct in place to deal with complaints and this incident has reinforced what our expectations are.
"For now, we have left our action as a warning that any Code of Conduct breach could risk their contract being torn up and them being sent home, and they can be replaced by another player with a better understanding of what is expected here."
Nelson did not confirm the names of any of the players involved when asked by the Herald.
The NZNBL has made a strong return after its season was up in the air due to the coronavirus pandemic, signing a broadcast agreement with ESPN which will see all 56 games televised in the United States on ESPN3.
With teams being built through a draft, a new concept for sport in New Zealand which drew plenty of attention to the competition at least in the early stages, it's been the Canterbury Rams who have found the early success with three wins in as many games. The returning Otago Nuggets and perennial cellar dwelling Taranaki Mountain Airs sit second and third, each with a 2-1 record.