  We study the energy level statistics of the states in E(5) and X(5)
transitional dynamical symmetries. The calculated results indicate that the
statistics of E(5) symmetry is regular and follows Poisson statistics, while
the statistics of X(5) symmetry involves two maxima in the nearest neighbor
level spacing distribution $P(s)$ and the $\Delta_{3}$ statistics follows the
GOE statistics. It provides an evidence that the X(5) symmetry is at the
critical point exhibiting competing degree of freedom.
