Quantum fidelity is one of the most important evaluation parameters in quantum teleportation protocols and can be used to evaluate the similarity between the initial state and the output state. Here， we propose one method to improve the teleportation fidelity in channels with Pauli noise based on a partial memory channel. According to the different parameters of Pauli noise， the average fidelity under three cases of bit-flip noise， xz dephasing noise， and two-Pauli noise is analyzed in detail. We construct the quantum logic circuit of a quantum teleportation scheme and analyze the relationship between quantum fidelity and noise parameters. In addition， as for the teleportation process under the effect of noise， the partial memory channel is introduced and the parameters of the partial memory channel are analyzed. The results show that the partial memory channel can effectively enhance the quantum teleportation fidelity under the influence of Pauli noise.