  We study the effects of disorders on the transport through small interacting
systems based on a two-dimensional Hubbard cluster of finite size connected to
two noninteracting leads. This system can be regarded as a model for the
superlattice of quantum dots or atomic network of the nanometer size.
  We calculate the conductance at T=0 using the order $U^2$ self-energy in an
electron-hole symmetric case. The results show that the conductance is ensitive
to the randomness when the resonance states are situated near the Fermi energy.
