The programme is aimed at women who want to move into chief officer posts in the next three to five years.
'There is a vast pool of talent which is not being fully used, and that is a tragic waste for the women concerned and local government as a whole,' LGMB chief executive Judith Hunt said.
'The next generation of senior managers will need to be imaginative, flexible and highly skilled. With the help of this programme many of them will also be women.'
Scheme director Elisabeth Al-Khalifa said women would only be accepted if they could show their council would give them sufficient support.
'If she does not have the organisational support she would not be able to complete the scheme,' she said.