Abstarct: Quantum state transfer can be occurred for many quantum systems via different ways. Quantum state transfer done either by direct transfer or via quantum teleportation. Moreover, it may be considered for using in quantum information processes and quantum computers, that is a promising interdisciplinary field. One of the most important parts of the quantum processing systems is information transferring part. Indeed, the quantum states transfer via these systems occurs in a channel called, quantum wire. Quantum wire can be considered as a quantum network and also random walk can be used to analyses state transfer in these quantum systems due to statistical nature of quantum mechanics. Quantum walk is defined as a quantum counterpart of the classical random walk. One of its goals is finding such algorithms that are faster and more efficient than classical algorithms. There are two distinct types of Quantum walks, discrete-time and continuous-time. In this thesis, we study the transfer of qubit states, the basis of information transferring in quantum computers, in a quantum networks like spin chains and so on by discrete-time quantum walk model. Since state transfer is one of the most important tasks in quantum communications, we study the conditions of the perfect state transferring via spin chains and spin cycles. We show that it could be possible to reach it by engineering the spin interactions without any external dynamical control for a chain with arbitrary length. Moreover, we compare discrete-time quantum walk with Dirac equation and Continuous time quantum walk with Schrödinger equation. We also study an efficient routing scheme, in order to transfer an arbitrary unknown state from input ports to arbitrary output ports.