Chris Kahui, the father of the Kahui twins, continues to deny any involvement in their deaths despite a damning coroner's report which squarely points the finger of blame at him.

In his report, made public on Wednesday, Coroner Garry Evans says the traumatic and fatal brain injuries suffered by three-month-old Chris and Cru in 2006 happened while they were in the sole care of Mr Kahui.

Mr Evans said Mr Kahui's evidence on his care of the twins was "unreliable, conflicting and, on many occasions, untrue".

There was "not a skerrick of evidence" his partner Macsyna King was at the house at the time, and she had no motive to kill her own children.

Mr Kahui was found not guilty of murdering the twins following a seven-week trial in 2008.

On Wednesday, in a statement, Mr Kahui denied any involvement in the deaths of the twins, saying he had been found not guilty by the High Court.

Mr Kahui "objected in the strongest possible terms to the coroner's findings and criticisms of him personally".

He rejected the coroner's findings, saying he was "most dissatisfied" with them.

The findings have raised questions over whether further charges could be laid.

Police are saying little about the findings, other than that they are still considering the evidence heard during the inquest.

Mr Kahui gave evidence during the inquest but not at his trial.

Simon Moore, the crown prosecutor at the trial, says it's a "pretty remote" chance someone could be retried for murder.

However, someone could be retried if it was found another crime had been committed causing them to be acquitted, and perverting the course of justice, he told Radio New Zealand.

They could also be retried if compelling and new evidence came forward.

"Just looking at what the coroner said, I am not sure that I see compelling or new evidence."