Henry made his debut as a replacement against New Zealand and came off the bench again versus South Africa, capping an impressive display in the latter match with a fine try.
Other changes in the team see Max Evans return at outside centre to the stadium where he won his first cap four years ago. He replaces Nick De Luca who is on the bench.
Scott Lawson will begin his first international since August 2011 at hooker rather than Ross Ford, and Alastair Kellock gets the nod over Jim Hamilton to win his 47th cap, while in the back-row Alasdair Strokosch is restored from the calf injury that prevented his involvement against the Springboks.
On the bench the uncapped Edinburgh Rugby lock Grant Gilchrist is nominated in a Scotland match-day 23 for the first time, as is the uncapped 20-year-old Bath Rugby stand-off Tom Heathcote.
Scotland
15 Stuart Hogg (Glasgow Warriors)
14 Sean Lamont (Glasgow Warriors)
13 Max Evans (Castres)
12 Matt Scott (Edinburgh Rugby)
11 Tim Visser (Edinburgh Rugby)
10 Greig Laidlaw (Edinburgh Rugby)
9 Henry Pyrgos (Glasgow Warriors)
1 Ryan Grant (Glasgow Warriors)
2 Scott Lawson (London Irish)
3 Euan Murray (Worcester Warriors)
4 Richie Gray (Sale Sharks)
5 Alastair Kellock (Glasgow Warriors)
6 Alasdair Strokosch (Perpignan)
7 Kelly Brown (Saracens) CAPTAIN
8 David Denton (Edinburgh Rugby)
Substitutes
16 Dougie Hall (Glasgow Warriors)
17 Kyle Traynor (Bristol Rugby)
18 Geoff Cross (Edinburgh Rugby)
19 Grant Gilchrist (Edinburgh Rugby)
20 John Barclay (Glasgow Warriors)
21 Rory Lawson (Newcastle Falcons)
22 Tom Heathcote (Bath Rugby)
23 Nick De Luca (Edinburgh Rugby)