The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, the dynamics of the Newton-Leipnik system with a fractional order has been studied numerically. The system displays many interesting dynamical be The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, the dynamics of the Newton-Leipnik system with a fractional order has been studied numerically. The system displays many interesting dynamical be