Transport properties of quantum-wire arrays with disorder in the period are studied theoretically within a self-consistent Born approximation. Although no band gap opens to the lowest order because of the flat average potential, a pseudo-band-structure is recovered in higher order due to effects of strong diffuse Bragg scattering as long as the disorder remains small. A pseudo-band-gap manifests itself in the density of states, the spectral function, and the anisotropic conductivities, and modifies the conductivity in the quantum-wire direction qualitatively in the vicinity of the zone boundary.