It is shown that for a nonrelativistic charged particle moving in an arbitrary external electromagnetic field there exist approximate solutions of the SchrSdinger equation such that the mean quantum-mechanic al coordinates and momenta of these states are enact general solutions of the classical Hamilton equations. Such states are called trajectory-coher ent states. The wave functions of trajectory-coher ent states are obtained by Maslov's complex germ method. The simplest properties of these states are studied.