  Controlled frames have been the subject of interest because of its ability to
improve the numerical efficiency of iterative algorithms for inverting the
frame operator. In this paper, we introduce the concepts of controlled g-fusion
frame and controlled K-g-fusion frame in Hilbert C*-modules and we give some
properties. Also, we study the pertubation problem of controlled K-g-fusion
frame. Moreover, an illustrative examples is presented to support the obtained
results.
