The former Scotland U20 international comes into a side showing 10 changes from the XV that took to the field at Ellis Park last weekend, as Franco Smith's squad face the current top-two showdown in the United Rugby Championship standings.
A completely reshaped front row sees Gregor Hiddleston and Zander Fagerson promoted to the starting lineup after featuring off the bench in Johannesburg, while Patrick Schickerling returns at loosehead following a rest during the opening match of the South African double-header.
Burke earns his first senior start just a week after debuting for the Warriors, partnering Alex Samuel in the second row.
At openside, Angus Fraser starts in the same week he agreed a contract extension, joining Euan Ferrie and Jack Dempsey.
In the backs, Ben Afshar is at scrum-half, while Adam Hastings returns from a head injury sustained against RC Toulon to start at fly-half.
Midfield continuity sees Huw Jones remain at outside centre, with Sione Tuipulotu coming in at inside centre after his bench appearance last time out.
On the wings, Kyle Steyn returns to captain the side, while Kyle Rowe shifts to full-back to allow Ollie Smith to start on the wing.
Among the replacements, Johnny Matthews and Sam Talakai return after missing last weekend, with Nathan McBeth completing the front-row cover.
Dylan Cockburn keeps his place on the bench for a second straight match, while Jare Oguntibeju and Sione Vailanu rotate to the replacements after starting at Ellis Park.
The bench is completed by Jack Oliver and Stafford McDowall, the latter having scored in each of his last three appearances for the club.
Speaking after naming his side, Head Coach Smith said: "The Stormers will pose a stern test this weekend, as they defend a proud home record in front of a partisan home support in Cape Town.
"They are able to call upon some of the most exciting talents in the BKT URC, blending physicality up front with an electrifying back-line.
"It is a test that we know we must be at our best to match, and the squad is ready to run out at DHL Stadium tomorrow afternoon."
15 Kyle Rowe (49)
14 Kyle Steyn (Captain) (105)
13 Huw Jones (86)
12 Sione Tuipulotu (83)
11 Ollie Smith (62)
10 Adam Hastings (87)
9 Ben Afshar (37)
1 Patrick Schickerling (24)
2 Gregor Hiddleston (44)
3 Zander Fagerson (172)
4 Ryan Burke (1)
5 Alex Samuel (53)
6 Euan Ferrie (55)
7 Angus Fraser (30)
8 Jack Dempsey (66)
Substitutes
16 Johnny Matthews (105)
17 Nathan McBeth (67)
18 Sam Talakai (39)
19 Dylan Cockburn (2)
20 Jare Oguntibeju (20)
21 Sione Vailanu (40)
22 Stafford McDowall (113)
23 Jack Oliver (6)
Unavailable for selection: Gregor Brown (hamstring), Alex Craig (foot), Scott Cummings (calf), Jamie Dobie (shoulder), Matt Fagerson (hamstring), George Horne (ankle), Charlie Savala (knee), Tavi Tuipulotu (knee), Max Williamson (knee).