  Highly precise weak lensing shear measurement is required for statistical
weak gravitational lensing analysis such as cosmic shear measurement to achieve
severe constrain on the cosmological parameters. For this purpose any
systematic error in the measurement should be corrected. One of the main
systematic error comes from Pixel noise which is Poisson noise of flux from
atmosphere. We investigate how the pixel noise makes systematic error in shear
measurement based on ERA method and develop the correction method. This method
is tested by simulations with various conditions and it is confirmed that the
correction method can correct $80 \sim 90\%$ of the systematic error except
very low signal to noise ratio galaxies.
