Cubic GaN was grown on (001) GaAs substrates by hydride vapor phase epitaxy (HVPE) with a buffer layer grown by low temperature HVPE. The crystalline structure of the GaN buffer layer is studied using reflection high-energy electron diffraction (RHEED). The GaN layers were grown at 800°C on the buffer layer with various growth temperatures and thicknesses. The optimum thickness of the buffer layer grown at 500°C to obtain a cubic GaN layer was found to be 60 nm in our case. When the buffer layer was grown at 525°C, however, the full width at half-maximum (FWHM) of the X-ray diffraction (XRD) pattern was 21.2 min, which is the narrowest ever reported, as far as we know. Furthermore, it was demonstrated that a single crystalline GaN buffer layer was necessary to obtain high-quality thick cubic GaN.