The rating agency on Thursday lowered its rating for EADS by one notch to A2, a level which is still in the "upper-medium grade" on Moody's credit rankings.
EADS on Wednesday announced a sweeping change to its shareholding structure which will see overall government influence by state shareholders France and Germany shrink.
Moody's pointed out that the planned changes will result in a lower degree of government influence and control but also less chance of government support.
The rating outlook remains stable. EADS shares rose €2.02 to €29.25 in afternoon trading.