The men's medal matches are scheduled for Friday August 19 and the women's the following day, on Saturday August 20.
The hockey schedules were agreed by FIH, Rio 2016, Olympic Broadcast Services (OBS) and the International Olympic Committee (IOC). The FIH Competitions Committee also played a crucial role in the development of the schedule along with representatives from all continents and the FIH Athletes' Committee.
Hockey New Zealand High Performance Manager Terry Evans said both teams were looking forward to the challenge of some exciting match-ups in their hunt to win a medal.
"There are no easy games at the Olympics and you can certainly see that in the draw for Rio which showcases the best of the best," Evans said.
"The men go up against world number one Australia in their first match so that will be an exciting challenge and a tough test to set the tone.
"We are confident that both our men and women have the talent within their squads right now to really make a mark and achieve some great results in Rio."
The New Zealand men's and women's hockey teams will be named in June by the New Zealand Olympic Committee.