Abstarct: In this thesis, we will introduce the problem of stabilization of fractional positive linear systems with delays by state-feedbacks. In these systems the gain matrix of the state-feedback is chosen so that the zeros of the closed-loop polynomial are located in the sector of the left half of complex plain. A new concept (notion) of the practical stability of positive fractional discrete time linear systems in introduced. We will be shown that the positive fractional systems are practically unstable if corresponding Standard positive fractional systems are asymptotically unstable. Necessary and sufficient conditions for the practical stability of the positive fractional systems and the solvability of the problem by making use of similarity transformation are established. We calculate the state feedback matrix which assignment desired eigenvalues to a close loop systems. The considerations are illustrated by a numerical example.