With the multielectronic states model for investigation of molecular behavior in superstrong laser fields,we simulate numerically the evolution procedure of a molecular wavepacket in the superstrong laser field. It results that for high frequency field the wavepacket evolves gradually, the molecule doesn′t fully dissociate until the end of the interaction. However,the molecular wavepacket tunnels quickly into the dissociative states. The wavepacket overflows the interaction region only in the first several periods of the laser pulse. In addition, we have also compared the dissociation probability and the momentum distribution of fragments in the high-frequency field with those in the low-frequency field.