In the previous paper, a cumulative damage law for prediction of fatigue life of unnotched plate was proposed and in this report, using the proposed cumulative damage law, fatigue crack initiation life of notched plates subjected to cyclic loading in low cycle range was discussed. It is assumed that initiation of an engineering size crack at a tip of notch was not only dependent on the local cyclic plastic strain Δεp and cyclic creep rate Δεm at the notch root, but on strain ratio |εx|/εy at the notch root and plastic strain concentration factor K ε, which represent some mechanical condition near the notch root. As fatigue damage by Δεp and Δεm was assumed to be ΣΔεpa and ΣΔεm respectively, so the effect of |εx|/εy and K ε are assumed to be represented by a following form. a N = a p · F (|εx|/εy, K ε) where a p and a N are exponent for unnotched plate and for notched one. In the above expression, decrease of |εx|/εy and K ε shorten the initiation life. In order to decide an experimental formula of function “F”, notched specimens of mild steel were tested under constant repeated axial load and function “F” was found as follows a N = a p {0.483 exp (1+|εx|/εy) -1.01} {-1/ K ε0.12+2}