It is demonstrated that already weakly disordered distribution of offs
et charges destroys the Kosterlitz-Thouless-Berezinskii charge-unbindi
ng phase transition in two dimensional normal and superconducting gran
ular arrays and films. Under these conditions the array conductance sh
ows a purely thermally activated behavior with the effective Coulomb g
ap being decreased due to charge disorder. Our results may account for
recent experimental findings in two dimensional arrays of tunnel junc
tions.