Price will pair-up with Welsh fly-half Dan Biggar once again, as the Lions seek to secure a successful series over the 2019 Rugby World Cup Champions, South Africa.
British & Irish Lions Head Coach, Warren Gatland, has made six changes in all to the starting XV which lost to the Springboks last Saturday in Cape Town.
That defeat saw the Castle Lager Lions Series draw level at 1-1 going into this weekend's final Test match.
Price is joined by two fellow Scots, Duhan van der Merwe who starts his third Test match on the wing, and former Glasgow Warrior Finn Russell who could win his first Test cap from the bench.
British & Irish Lions
15 Liam Williams (Scarlets, Wales)
14 Josh Adams (Cardiff Rugby, Wales)
13 Robbie Henshaw (Leinster Rugby, Ireland)
12 Bundee Aki (Connacht Rugby, Ireland)
11 Duhan van der Merwe (Worcester Warriors, Scotland)
10 Dan Biggar (Northampton Saints, Wales)
9 Ali Price (Glasgow Warriors, Scotland)
1 Wyn Jones (Scarlets, Wales)
2 Ken Owens (Scarlets, Wales)
3 Tadhg Furlong (Leinster Rugby, Ireland)
4 Maro Itoje (Saracens, England)
5 Alun Wyn Jones - captain (Ospreys, Wales)
6 Courtney Lawes (Northampton Saints, England)
7 Tom Curry (Sale Sharks, England)
8 Jack Conan (Leinster Rugby, Ireland)
Substitutes
16 Luke Cowan-Dickie (Exeter Chiefs, England)
17 Mako Vunipola (Saracens, England)
18 *Kyle Sinckler (Bristol Bears, England) - subject to outcome of disciplinary hearing.
19 Adam Beard (Ospreys, Wales)
20 Sam Simmonds (Exeter Chiefs, England)
21 Conor Murray (Munster Rugby, Ireland)
22 Finn Russell (Racing 92, Scotland)
23 Elliot Daly (Saracens, England)