Recruits will be mainly based at GCHQ, the electronic communications agency. But some will work for MI6 or MI5.
They will be paid an unspecified salary as well as earning a foundation degree as they train.
William Hague unveiled the scheme yesterday during a visit to Bletchley Park - GCHQ's Second World War predecessor.
The Foreign Secretary compared the role of the new recruits to that of the Buckinghamshire base's famous 'code-breakers', who cracked the Enigma codes used by the Nazis.
He said cyber-warfare was "one of the greatest challenges of our time" and that he wanted to find the "young innovators" who would be able to help confront it.
Candidates need three A-levels or equivalent qualification, including at least two C grades in a science, technology or maths subject.
They will embark on a two-year training programme which will include desk-based study as well as work placements.
They will earn a foundation degree course in communications, security and engineering at De Montfort University in Leicester as well as a level diploma in IT.
A GCHQ spokesman said: "Candidates won't just be working with the very latest technology, they will be involved in creating it."
- DAILY MAIL