In this paper, we generalized the results of [23, 26], and get the results of the condition number of the W-weighted Drazin-inverse solution of linear system W AWchi=b, where A is an $m{ imes}n$ rank-deficient matrix and the index of A W is $k_1$, the index of W A is $k_2$, b is a real vector of size n in the range of $(WA)^{k_2}$, $chi$ is a real vector of size m in the range of $(AW)^{k_1}$. Let $alpha$ and $eta$ be two positive real numbers, when we consider the weighted Frobenius norm $|[{alpha}W;AW,;{eta}b]|$(equation omitted) on the data we get the formula of condition number of the W-weighted Drazin-inverse solution of linear system. For the normwise condition number, the sensitivity of the relative condition number itself is studied, and the componentwise perturbation is also investigated.