  We propose the indirect search for the CP violating phase in the long
baseline $\n_\m \Ar\n_e$ oscillation experiment, in which two scenarios of the
neutrino mass hierarchy are discussed in the three family model. The CP
violatig phase effect is clearly found in the scenario: the LSND data plus the
atmospheric neutrino deficit. The phase dependence of the oscillation
probability is explicitly shown by using typical parameters of the K2K
experiment. The matter effect is negligibly small. In order to select the
scenario of the neutrino mass hierarchy, the measurement of the
$\n_e\Ar\n_\tau$ oscillation is also proposed in the long baseline experiment.
