Furfural is produced by contacting a feedstock solution containing C5 sugar and/or C6 sugar with a solid acid catalyst using reactive distillation. Both high yield and high conversion are obtained, without production of insoluble char in the reaction vessel. Degradation of furfural is minimized by its low residence time in contact with the solid acid catalyst. Higher catalyst lifetime can be achieved because the catalyst is continually washed with the refluxing aqueous solution and not sitting in high-boiling byproducts like humins, which are known to be deleterious to catalyst lifetime.