Abstract: In this paper we investigate the Artinianness of certain local cohomology modules <TEX>$H^i_I(N)$</TEX> where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of <TEX>$H^n_I(N)$</TEX>, where n is the dimension of N.