  A non-stationary method for tunneling description of non-relativistic
particles and photons through a barrier on the basis of consideration of the
multiple internal reflections of vawe packets in relation of barrier boundaries
is presented. The method is described in details and proved in the case of the
one-dimentional tunneling of the particle through the rectangular barrier. For
problems of the tunneling of the particle through the spherically symmetric
barrier and of the photon through the one-dimensional barrier the amplitudes of
transmitted and reflected wave packets in relation to the barrier, times of the
tunneling and the reflection are found using of the method. Hartman's and
Fletcher's effect is analysed.
