In this paper the propagation of a VLF electromagnetic wave packet in a magnetoplasma is studied. The wave packet is constructed by superposing a group of spectrum-weighted characteristic vectors. Accurate to the second order, a set of analytic expression of the complex amplitude factor and field vectors for a Gaussian packet has been obtained. Based on these expressions, effects of dispersion and anisotropy on the vector property of wave field and the amplitude envelope are simulated. Numerical results show that the polarization of wave fields is varying when the packet moves and somewhat deviates from exact circular polarization in a plane transverse to the carrier wave vector, k0. The Gaussian envelope is found to rotate around the Vg¿k0 direction and to spread three dimensionally as it propagates. The rotation of the ellipsoidal pulse tends toward a stable direction after a propagation of about 250 periods. ¿American Geophysical Union 1990