In the practical measurement of scanning near-field acoustic holography (NAH), measured signals on holographic grids and reference points are inevitably contaminated by some noises. These noises will be amplified in the process of NAH back reconstruction, and source reconstruction accuracy is degraded. On the assumption that the noises are uncorrelated with each other and the source, two new transfer functions is introduced in NAH to obtain the complex sound pressure on hologram, and then the NAH is implemented. Both numerical and experimental results show that the effects of uncorrelated noises on calculating holographic complex pressure can be suppressed in the proposed method. Furthermore, the reconstruction results show that the error induced by the measurement noise is reduced, and the reconstruction accuracy is improved.