According to Semta, these industries, along with the technology sector need 11,500 new recruits, with half of these requiring higher level skills.
The body claims that apprenticeships are essential in meeting this demand and has launched a new scheme designed to help commercial organisations offer opportunities to young people.
Research by the group revealed that businesses are reluctant to provide apprenticeships due to excessive amounts of bureaucracy and the poor quality of candidates.
Philip Whiteman, chief executive of Semta, said: "Semta is urging engineering, technology and science businesses in Wales to consider their future skills needs."
John Mowbray, president of the North East Chamber of Commerce, said recently that organisations in the region need help offering apprenticeships and greater education on how such schemes can benefit them going forward.