This paper presents a weighted approach for integrated active noise control and noise reduction in hearing aids. An integrated scheme has been introduced previously to tackle secondary path effects and effects of noise leakage through an open fitting. This scheme, however, does not allow to balance between the noise reduction and the active noise control. In some circumstances it will indeed be useful to emphasize one of the functional blocks. A scheme based on a weighted mean squared error criterion is presented here and compared experimentally with the original un-weighted scheme.