As expected, Smith has made sweeping changes after England's dismal World Cup, with just six survivors from November's semi-final defeat by New Zealand.
They are James Graham, Danny McGuire, Adrian Morley, Jamie Peacock, James Roby and Ben Westwood.
Sam Burgess and Sean O'Loughlin return to the international fold after missing the World Cup through injury.
Of the rest, Keith Senior has retired, Ade Gardner is injured and Gareth Ellis, now playing in Australia for Wests Tigers, was not considered.
Martin Gleeson, Paul Wellens, Leon Pryce, Rob Burrow, Mark Calderwood, Rob Purdham, Mickey Higham and Jon Wilkin have all been overlooked but will be hoping to press their claims for the end-of-season Four Nations tournament.
Peacock pleased with young England squad
The squad, which will again be captained by Leeds forward Jamie Peacock, features players from 11 different clubs and contains 12 players aged 25 or under.
Smith added: "This game will also be about looking at a number of new faces to see how they perform on the international stage with one eye on this autumn's Four Nations."
France, coached for the first time by Bobbie Goulding, will not name their team until the weekend, but have already lost Catalans Dragons duo Dimitri Pelo (ankle) and Jamal Fakir (knee) from the team.
"It's a big blow," said Goulding. "I was going to name Pelo at full-back. There are not many outside backs in France.
"The forwards are fine - I think we can compete with anyone up front.
"David Ferriol is one of the best props in the world, Olivier Elima is having his best season ever, Jerome Guisset keeps coming every single year and Kane Bentley can be one of best hookers around."
It's no good picking Australians who would not get in the State of Origin team. After a disastrous World Cup, it's time to bite the bullet
France coach Bobbie Goulding
By the time the Four Nations tournament comes around, several Australian-born Dragons players, including influential full-back Clint Greenshields, will be eligible for France on residency grounds.
But Goulding said he would not be guaranteed a place in his side.
"It's time now to produce French kids," he said.
"It's no good picking Australians who would not get in the State of Origin team. After a disastrous World Cup, it's time to bite the bullet.
"There could be one or two exceptions but they would have to be absolute quality and would certainly have to play Super League."
England squad to play France in Paris on 13 June:
Atkins (Wakefield), S Burgess (Bradford), Briscoe (Hull KR), Clubb (Harlequins), Crabtree (Huddersfield), Fox (Hull KR), Graham (St Helens), Hall (Leeds), Hock (Wigan), McGuire (Leeds), Moore (Huddersfield), Morley (Warrington), Myler (Salford), O'Loughlin (Wigan), Peacock (Leeds, captain), Roby (St Helens), Shenton (Castleford), Tomkins (Wigan), Westwood (Warrington).
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