The Saracens flanker did not feature in the matchday squad for either the defeat against England at Murrayfield or the away victory over Italy but he returns to take his place at openside flanker.
"I think Saturday is a game that will really suit Kelly. Unlike other sides in the competition, France play above the ground a bit and there will be a lot of mauling," said interim head coach Scott Johnson.
"I think the pitch suits Kelly too and I've picked a side that can win the game and that's most important."
In further changes to the side that clinched a first win of the 2014 RBS 6 Nations Championship in Rome, Johnnie Beattie moves to blindside in place of Ryan Wilson while David Denton returns at No.8.
Wilson drops to the bench meaning there is no place in the 23 for Chris Fusaro.
The other change made by Johnson sees Geoff Cross come in at tighthead prop in place of Moray Low while Euan Murray is included in a squad for the first time on the bench.
Ryan Grant continues at loosehead with Scott Lawson at hooker and Johnson has again selected Richie Gray and Jim Hamilton - both of whom play their club rugby in France - at second row.
Greig Laidlaw relinquishes the captaincy but continues at scrum-half and Duncan Weir, who scored the crucial last-minute drop goal against Italy, wears No.10 once more.
The centres and back three are unchanged with Matt Scott and Alex Dunbar, who scored two tries against Italy, in midfield, Sean Lamont and Tommy Seymour on the wings and Stuart Hogg at full-back.
SCOTLAND SIDE TO FACE FRANCE:
15. Stuart Hogg (Glasgow Warriors)
14. Tommy Seymour (Glasgow Warriors)
13. Alex Dunbar (Glasgow Warriors)
12. Matt Scott (Edinburgh Rugby)
11. Sean Lamont (Glasgow Warriors)
10. Duncan Weir (Glasgow Warriors)
9. Greig Laidlaw (Edinburgh)
1. Ryan Grant (Glasgow Warriors)
2. Scott Lawson (Newcastle Falcons)
3. Geoff Cross (Edinburgh)
4. Richie Gray (Castres)
5. Jim Hamilton (Montpellier)
6. Johnnie Beattie (Montpellier)
7. Kelly Brown (Saracens)
8. David Denton (Edinburgh)
16. Ross Ford (Edinburgh)
17. Alasdair Dickinson (Edinburgh)
18. Euan Murray (Worcester Warriors)
19. Tim Swinson (Glasgow Warriors)
20. Ryan Wilson (Glasgow Warriors)
21. Chris Cusiter (Glasgow Warriors)
22. Duncan Taylor (Saracens)
23. Max Evans (Castres)