On self-assembled In x Ga 1Ϫx As/GaAs͑311͒B quantum dots ͑QD's͒, photocurrent in the plane of QD arrays was measured under irradiation with wavelengths longer than 850 nm ͑1.46 eV͒. A sample with rather inhomogeneous QD sizes shows hopping conduction, indicating the localization of carriers in individual QD's. A two-dimensional QD superlattice, consisting of highly ordered and homogeneously sized QD's, exhibits negative differential conductance ͑NDC͒, i.e., photocurrent decrease with increasing applied voltage, in a limited electric-field range. The pre-NDC conduction is argued to arise from the miniband, which is evidenced by the photoluminescence, while the post-NDC conduction is found to be hopping as in a localized QD system, suggesting a miniband destruction under an in-plane electric field as low as ϳ10 3 V cm Ϫ1 . The miniband transport is likely controlled by two-dimensional acoustic-phonon scattering.