Catalyzes the sequential NAD-dependent oxidations of L-histidinol to L-histidinaldehyde and then to L-histidine. H2O + L-histidinol + 2 NAD(+) = 3 H(+) + L-histidine + 2 NADH Amino-acid biosynthesis; L-histidine biosynthesis; L-histidine from 5-phospho-alpha-D-ribose 1-diphosphate: step 9/9. Belongs to the histidinol dehydrogenase family. Highly divergent compared to other bacterial HisD.