Continuous systems require a numerical approach toward damping analysis of parametric systems. Damped parametric vibration possesses the following particular properties: a damped linear system exhibits infinite resonant amplitudes; and the vibration amplitude in systems with sub critical damping tends toward zero. In the systems with auto parametric coupling a great role is played by any non-linearities characterizing these systems as well as by the kind of damping resistance. It is highly important, since energy transfer from one degree of freedom to another which affects the behaviour of the system depends on those non-linearities and damping forces. Solutions to equations describing parametric vibration have a complex character – damping properties can be easily expressed only by the minimum damping coefficient at which resonance does not appear. It is also an important piece of information, from the practical point of view, about parametric instability elimination.