Donovan Michael Duff has been found guilty of the murder of his 9-month-old daughter.

Duff has been on trial in the High Court at Rotorua where he faced a charge of murdering Maija Puhi Duff at their Turangi home on March 12, 2015.

Duff, 42, pleaded not guilty when the trial began on Monday last week.

Closing the prosecution's case earlier today Crown solicitor Amanda Gordon said there was no doubt Duff loved his daughter, described by her grandfather as "his heart" and, by all accounts, was a good dad.

However, in the early hours of March 12, 2016 for some reason that would never be known he became frustrated and angry, lashing out at Maija multiple times and inflicting unsurvivable injuries to her brain.

"The Crown says he murdered her, that her death was caused by these blunt force injuries," Gordon submitted.

She reiterated Maija's injuries could not have been caused by CPR, rolling from a bed, tumbling down steps, falling out of her stroller or being asphyxiated while co-sleeping with an adult, pointing to expect medical evidence that refuted any of these possibilities or a combination of them.

Gordon reminded the jury at the very minimum there were three fatal injuries to Maija's scalp, skull and across the surface of her brain.

"It would be nice if there is an accidental explanation for these injuries but there is not," she said.

Referring to an alleged fall from a bed, Gordon queried if this had in fact happened, would a good parent have left a child that age alone on one for up to two hours.

"You have to remember when she was returned to his care by whanau members, she was well so you have to ask the important question, who inflicted these injuries?" Gordon urged the jury.

She reminded them it was Duff who had the sole care of Maija at the time she died.