The error of the double-qubit gate operation caused by the noise is an important reason for the reduction of the fidelity of the execution result in the reversible quantum circuit. A strategy for mapping quantum circuits to noisy quantum computing devices is proposed, so as to improve the success rate of quantum circuits on quantum computing devices. This strategy first provides a method for finding the neighbor path of two qubits on a quantum computing device in which the qubits are not fully connected; since the noise of any two neighbor qubits on the neighbor path is generally different, a heuristic function is constructed based on the execution success rate of the double-qubit gate on the nearest neighbor path to estimate the fidelity of the line in the look-ahead window, and the nearest neighbor method with the highest fidelity is selected according to the cost function. After testing multiple Benchmarks, the experimental results show that the proposed strategy improves the fidelity of the quantum circuit by an average of 65.67% and 71.60% respectively compared with the SabreSwap and BasicSwap methods in Qiskit. The proposed method can improve the fidelity of quantum circuits