Brown returns in place of Richie Vernon who made his first competitive start for the Warriors this season against the French champions and three-times European Cup winners.
That change in the back-row is the only one made by head coach Sean Lineen who is fielding all seven of the Warriors' Scotland squad call-ups for the Bank of Scotland Corporate Autumn Tests in the starting XV.
"Kelly came on last weekend and made a huge impact," Lineen said. "He's had a little wake-up call but I've been impressed with how he has responded and it's also great to see him back in the Scotland squad.
"As for Richie, he had a taste of the big time last weekend and I was really encouraged by his performance. He certainly wasn't out of his depth in such a massive game."
Looking forward to taking on the reigning league champions at Firhill, Lineen added: "We need to build on our form from last Friday; all we need is a different end result. The crowd was fantastic once again and with Leinster setting the pace in the Heineken Cup we need the same level of noise from the Jackie Husband stand this week."
Glasgow Warriors team to play Leinster in the Magners League at Firhill Arena on Friday 24 October (kick-off 7:30pm)
15 Bernardo Stortoni
14 Lome Fa'atau
13 Max Evans
12 Graeme Morrison
11 Thom Evans
10 Dan Parks
9 Mark McMillan
1 Kevin Tkachuk
2 Dougie Hall
3 Ed Kalman
4 Dan Turner
5 Alastair Kellock CAPTAIN
6 Kelly Brown
7 John Barclay
8 Johnnie Beattie
Substitutes from: Pat McArthur*, Moray Low, Tim Barker, Stevie Swindall, Richie Vernon, Colin Gregor, Ruaridh Jackson, Andrew Henderson, Hefin O'Hare
* = Member of Scottish Rugby's National Academy
Tickets for Friday night's clash with the Magners League champions are still available, priced at £15 for adults, £10 for concessions and £5 for Under 18s, and can be purchased by calling the Ticket Centre on 0844 800 3490 or by logging onto www.glasgowwarriors.org
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