Harrison starts at blindside flanker, and is one of four Northampton players in the starting line-up.
Also starting are Luther Burrell, Dylan Hartley and Courtney Lawes, while Paul Hill is on the bench.
Burrell will make his first appearance for England since his controversial omission from the World Cup squad in August.
The match will not involve players from Saracens or Exeter, who play in the Aviva Premiership Final on Saturday, and coach Eddie Jones says the absence of those players present a ‘a great opportunity’ for others.
“This will serve to strengthen the squad’s depth as we move towards the 2019 World Cup,” said Jones.
“We’ve picked a side we believe can beat Wales. It’s a good mixture of experienced players and youth.
“We are a young team learning our craft. Wales are an experienced team - it’ll be great test for us.”
England team to face Wales: Mike Brown, Anthony Watson, Jonathan Joseph, Luther Burrell, Marland Yarde, George Ford, Ben Youngs; Matt Mullan, Dylan Hartley, Dan Cole; Joe Launchbury, Courtney Lawes; Teimana Harrison, James Haskell, Jack Clifford. Replacements: Tommy Taylor, Ellis Genge, Paul Hill, Dave Attwood, Matt Kvesic, Danny Care, Ollie Devoto Elliot Daly.