Peyper will be assistant by Jaco van Heerden and Stephan Geldenhuys, with Johan Greeff on Television Match Official (TMO) duty.
In the other South African derby on the opening weekend of the 2015 Super Rugby tournament, Australia's Andrew Lees will referee the clash between the Sharks and Cheetahs at Kings Park in Durban (February 14).
Lees will be assisted by Rohan Hoffmann and Archie Sehlako, with Marius Jonker the TMO.
Australia's Hoffmann will also referee the Friday evening encounter between the Lions and Hurricanes at Ellis Park in Johannesburg. There, he will be assisted by Lees and Pro Legoete, with Greeff the TMO.
Super Rugby Round 1 referee appointments:
FRIDAY, FEBRUARY 13
Crusaders v Rebels, Christchurch - 08:35
Referee: Nick Briant
AR1: Shane McDermott
AR2: Brendon Pickerill
TMO: Aaron Paterson
Brumbies v Reds, Canberra - 10:40
Referee: Angus Gardner
AR1: James Leckie
AR2: Will Houston
TMO: Peter Marshall
Lions v Hurricanes, Johannesburg - 19:10
Referee: Rohan Hoffmann
AR1: Andrew Lees
AR2: Pro Legoete
TMO: Johan Greeff
SATURDAY, FEBRUARY 14
Blues v Chiefs, Auckland - 08:35
Referee: Chris Pollock
AR1: Ben O'Keeffe
AR2: Kane McBride
TMO: Ben Skeen
Sharks v Cheetahs, Durban - 17:05
Referee: Andrew Lees
AR1: Rohan Hoffmann
AR2: Archie Sehlako
TMO: Marius Jonker
Bulls v Stormers, Pretoria - 19:10
Referee: Jaco Peyper
AR1: Jaco van Heerden
AR2: Stephan Geldenhuys
TMO: Johan Greeff
SUNDAY, FEBRUARY 15
Waratahs v Force, Sydney - 07:05
Referee: Steve Walsh
AR1: Damien Mitchelmore
AR2: Michael Hogan
TMO: Ian Smith