And, in further boost to local industry, the engineering firm says candidates who apply but don't make the grade will be given a second chance with other firms.
The second chance will come via Semta, the sector skills council for science, engineering and advanced manufacturing.
Stewart McKinlay, Semta's business partner in Scotland, said: "Babcock have invested heavily in training and it is particularly pleasing to see them looking after those young people who have the aptitude and desire to pursue a career in engineering but just miss out on the ten positions available."
Babcock's Marine and Technology Division at Faslane is planning to establish an academy for new recruits and its existing workforce to ensure the right skills are in place to sustain employment at the base.
The announcement comes after 15 Babcock apprentices, who joined the company four years ago, gathered with friends and family at a Glasgow hotel to celebrate the end of their apprenticeships and their move into full-time roles at the base.
The event also marked the presentation of the Apprentice of the Year Award to Liam Doherty, 24, from Dumbarton.
Nicholas Russell, 20, from Garelochhead, finished second in the competition.