The present study is to originate the Kannan Iterated Function System in complete b-metric space and we demonstrate several uniqueness and existence of the attractor. Our results deduce and expand several modern consequence correlated with Hutchinson-Barnsley operator and KIFS in complete b-metric space. To obtain our result we using some basic concepts and properties given in the literature. As an application, we formulate Collage theorem for KIFS in complete b-metric space which can be used to solve inverse problems of reconstruction the fractal objects. We also discuss well-posedness for Kannan mapping in complete b-metric space with illustrative example.