We have investigated experimentally the transport properties of two-di
mensional arrays of small tunnel junctions in the charging regime. In
such arrays, the random offset charges caused by impurities in the und
erlying substrate or in the tunnel barriers are expected to strongly a
ffect the conduction. The current through the arrays oscillates period
ically with the gate voltage and we have found a linear dependence of
the Coulomb voltage gap with the length of the array. These results ar
e a direct measurement of the influence of charge disorder on Coulomb
blockade and are in good agreement with theoretical predictions.