In this paper, a new model of 3-qubits quantum annealing processor is designed. The spin-chain model is used to simulate the quantum annealing processor. The Hamiltonian which describes the system is introduced and analytically solved using the unitary operator method taking into account, processor in,ground state. The generated entanglement between processor parts is quantified using, concurrence method. The effect of quantum processor parameters on the dynamics of entanglement is investigated. The results show that enough quantum correlation is generated between quantum annealing processor nodes (qubits). However, it has shown that we can control the dynamics of entanglement over the system by controlling the system parameters. c 2019 ACM.