The All Blacks defeated Scotland 43-21 last Saturday, but record try-scoring wing Will Jordan (hamstring) and centre Jordie Barratt (facial) picked up injuries and are absent against Wales.
Flanker Anton Segner and wing Fehi Fineanganofo, whose move to Newcastle Red Bulls in the summer was delayed by a year, make their first Test starts.
Segner, prop George Bower, hooker Asafo Aumua and scrum-half Cortez Ratima move from the replacements into the starting side.
Mo’unga, Fineanganofo, lock Josh Lord and centre Anton Lienert-Brown also come into the side.
“We have created good depth in this group and there is a lot of competition for places,” said Rennie.
“We have selected a strong squad with 783 caps.”
New Zealand have won the past 34 Tests against Wales in a winning sequence that stretches back to 1953.
“Wales are a proud rugby nation and building nicely under Steve Tandy,” said Rennie.
“We are well aware of the threat they pose and the challenge of playing in front of a passionate crowd at Principality Stadium.”
New Zealand and South African are currently unbeaten in the southern hemisphere table.
The rivals are battling for top spot before the play-off weekend at the end of the month.