James Anderson and Stuart Broad will be back for the first two Tests against New Zealand.
The West Indies tour in March left the veteran pace bowlers out.
Yorkshire batter Harry Brook and Durham fast bowler Matty Potts are the first rookies to receive call-ups.
The three-Test series against the world champion will be the first for England since they appointed a new Test coach and captain.
The first Test at Lord's is on 2 June, followed by the second at Trent Bridge on 10 June. The series ends at Headingley.
Rob Key was part of the panel that chose the 13-man squad.
Key said that this is the start of a new era for the Test team.
With a blend of youth and experience, we have selected an exciting squad that can compete with New Zealand.
We have rewarded players like Harry and Matty who have had outstanding starts to the county season, and they deserve the chance to stake a claim at this level.
It promises to be a mouth-watering series, and I can't wait for the team to start against a very good New Zealand side. Everyone connected with the sport in this country is interested in it.
After receiving public backing from both Key and Stokes, Anderson and Broad were always likely to return.
England are without seven other fast bowlers through injury, while Ollie Robinson has been left out due to a number of fitness issues.
Dan Lawrence, who played all three matches in England's defeat in the West Indies, misses out as he works his way back from a injury.
The absences give opportunities to the leading run-scorer in Division One of the County Championship, and the leading bowler in the other division.
The batting order will be shuffled due to the fact that Ben and Joe will bat at number six and four.
Pope is likely to get the chance to play at number three, a position he has never occupied in first-class cricket. Ben Foakes is set to keep his place behind the stumps, as he will be pushed for the number five spot by Brook.
England haven't won a series in five years and have only won one of their past 17 Tests.
New Zealand beat India in the final of the world Test Championship.
The fifth Test against India was postponed in September after an outbreak of Covid-19 in the tourists' camp.
South Africa will play a three-Test series in the UK later in the summer.
Ben Foakes is in the England squad.
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