In this research paper, we develop the generalized fractional k-integral operators (gFkIO) involv- ing Appell k-function as its kernel, and investigate (gFkIO) with the composition of Bessel k-function of first kind (BkF-I). We shall obtain results by applying Sagio fractional integral k-operators (SFIkO) and Riemann Liouville fractional integral k-operators (RLFIkO) in which Gauss Hypergeometric k-function (GHkF) acting as a kernel in the left and right sense with product of power k-function and Bessel k-function of first kind (BkF-I) and results will be establish in the terms of generalized Wright Hypergeometric k-function (gWHkF).