In this paper, solutions of the following non-Lipschitz stochastic differential equations driven by G-Brownian motion: $$X_t = x + \int_0^t {b(s,\omega ,X_s )ds} + \int_0^t {h(s,\omega ,X_s )d\left\langle B \right\rangle _s } + \int_0^t {\sigma (s,\omega ,X_s )dB_s } $$ are constructed. It is shown that they have the cocycle property. Moreover, under some special non-Lipschitz conditions, they are bi-continuous with respect to t, x.