  We study statistical properties of excited levels of the E x (b_1+b_2)
Jahn-Teller model. The multitude of avoided crossings of energy levels is
generally claimed to be a testimony of quantum chaos. We found that apart from
two limiting cases (E x e and Holstein model) the distribution of
nearest-neighbor spacings is rather stable as to the change of parameters and
different from the Wigner one. This limiting distribution assumably shows
scaling ~$\sqrt{S}$ at small S and resembles the semi-Poisson law P(S)= 4S \exp
(-2 S) at S> 1. The latter is believed to be universal and characteristic,
e.g., at the transition between metal and insulator phases.
