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In this paper, we propose a new algorithm named generalized back projection algorithm via node analysis (GBPA-NA), with purpose of solving low resolution problem in electrical impedance tomography (EIT) reconstruction images. The new method calculates projection matrix in integral form instead of differential form, so that the reconstructed images resolution is improved for residual error reduced. GBPA-NA is applied to image reconstruction using a simulation cylinder model and real experimental model of 128-channel EIT system respectively. The results indicate that the quality of images reconstructed by GBPA-NA is better than that of the previous back-projection-based algorithms accessed by four metrics. The proposed method is promising in clinic feasibly.