However, he supported the principle of the law change as long as it had popular support, the newspaper reported.
The rules of royal succession have for centuries discriminated against women by allowing men to accede to the throne before any older sisters.
New Zealand is co-ordinating the process of changing the laws across the 16 Commonwealth countries to ensure consistency in the timing and the outcome of the changes.
Duty Minister Nathan Guy declined to comment yesterday on the Prince's comments but Prime Minister John Key previously welcomed the plans, saying he was glad New Zealand had been part of the process to bring about positive change.
"While tradition is important, I think this is an instance where it is important to move with the times," he said last May.
"New Zealand is a place where we judge people on their ability and values, not their gender and I am pleased we are part of the process that will result in this positive change."