It promises that successful candidates will gain 'essential work experience, a Level 4 Higher Apprenticeship qualification and a springboard into a cyber security career'.
The 'fast track' apprenticeship scheme was launched in 2013 but has expanded to include cybersecurity candidates this year.
Apprentices will learn a range of cybersecurity skills including risk management, digital forensics and incident response.
Candidates need to have a passion for technology, problem-solving skills and the ability to articulate complex issues clearly, according to the jobs specification. They will need two A*to C grade A-Levels or equivalent in a STEM subject and must be willing to undertake security clearance.
They will receive a minimum starting salary of £19,500 and once they finish the scheme, they will be able to apply for other programmes should they wish to continue their career in the civil service.
The scheme, which is recognised as a 'Tech Industry Gold' course, has been designed by employers like IBM, BT, Capgemini, Oracle and Lloyds Bank to ensure it include all the skills necessary to pursue a career in cybersecurity.
The deadline for applications is 15 March, with successful candidates due to start work in September.
Last year a GCHQ employee warned the UK could be vulnerable to a high-level online attack as a result of a lack of skilled cyber experts.
Official statistics show cyber crime is a big and growing problem, with 93 percent of large businesses and 87 percent of SMEs reporting a cyber breach in 2013/14.