Let  be any preradical and M any module. In [2], Al-Takhman, Lomp and Wisbauer defined  -supplemented module. In this paper we introduce the (completely)  --supplemented modules. It is shown that (1) Any finite direct sum of  --supplemented modules is  -- supplemented. (2) If M is  --supplemented module and (D3) then M is completely  --supplemented.