  In this work the model is constructed to describe the black hole enclosed in
the dust cosmological background in case of zero spatial curvature. This model
is based on our exact solution of the class of LTB inhomogeneous solutions. We
considered the properties of the model and built the R-T-structure of the
resulting space-time. It was shown that central region includes the
Schwarzchild-like black hole. We derived the equations of motion of the test
particle from the point of view of the observer comoving with cosmological
expansion. We found analytical expressions for observable orbital and radial
velocities of the particle and plotted the surface profile of the total
velocity in this case. In comoving coordinate frame it is impossible to study
the questions concerning the black hole horizon but one can observe the local
motion of the particles influenced by the cosmological expansion.
