Recently, Qi et al. have developed a 4D dynamical system, in which each equation contains a 3-term cross product. And it has been shown that complex bifurcations can occur and chaos may be examined in several parameter regions of this system. This paper further investigated Qi’s 4D system. By use of phase portraits and time response curves, the dynamical behaviors were identified based on numerical solutions of the equations for the system. It was shown that chaotic transients occurred in the system with two sets of parameter values, and small changes of initial values may lead the system to different final steady states.