Hydrodynamic properties of hot dense plasma bunch have been studied in terms of their application to the problem of inertial confinement fusion. The two-temperature hydrodynamic equations taking into account the electron heat conduction and kinetics of the charge composition are presented. The following model problems are considered: expansion of a plasma bunch in a vacuum, compression of the plasma by shock waves, interaction of the plasma bunch with a laser radiation and a beam of heavy ions. The some problems arising in the problem of inertial confinement fusion are analyzed on the basis of the developed numerical methods.