The present invention is a process for desulfurizing hydrocarbon feedstreams with alkali metal compounds and regenerating the alkali metal compounds via the use of a copper sulfide reagent. The present invention employs the use of a copper sulfide reagent to convert alkali metal hydrosulfides in the generation or regeneration of the alkali hydroxide compounds which may be utilized in a desulfurization process for hydrocarbon feedstreams. Additionally, in preferred embodiments of the processes disclosed herein, carbonates which form as byproducts of the desulfurization process, and are non-regenerable with copper sulfide, are removed from the alkali hydroxide stream.