*-frames for operators on hilbert modules

K-frames which are generalization of frames on hilbert spaces‎, ‎were introduced‎ ‎to study atomic systems with respect to a bounded linear operator‎. ‎in this paper‎, ‎*k-frames on hilbert c^*-modules‎, ‎as a generalization of $k$frames‎, ‎are introduced and some of their properties are obtained‎. ‎then some relations‎ ‎between *k-frames and *-atomic systems with respect to an adjointable operator are considered and some characterizations of *-k-frames are given‎. ‎finally perturbations of *-k-frames are discussed‎.