Transport properties of the charge ordering compound $beta-$Na$_{0.33}$V$_2$O$_5$ are studied in the temperature range from 30 K to 300 K using current driven DC conductivity experiments. It is found that below the metal-insulator transition temperature (T$_{mi}$ = 136 K) this material shows a typical nonlinear charge density wave behavior. The observed conductivity is discussed in terms of a classical domain model for charge density wave transport.