The present standard lacks considerations of random characteristic of eccentricity for the menbers subjected to eccentric compression. The varying trend of eccentricity function is analyzed firstly in this case. And then, the random characteristics of eccentricity are obtained from the statistical samplings. Based on the full consideration of these random characteristics, the reliablity of members subjected to eccentric compression is calculated with the Monte Carlo method under different load effect ratios. It shows that the results can reasonably reflect the practical reliablity of members subjected to eccentric compression.