The present invention is related to a new method to produce natural water-based glues made of two components, designed to glue lignocellulosic surfaces, mainly cork and wood. The mentioned process comprises the extraction of the aqueous phase of a mixture resulting from liquefying cork dust and/or cork granules, process that is commonly referred to as depolimerization process of cork; evaporation of the aqueous phase, therefore obtaining a first component consisting of a gel composed by the soluble components of the liquefying mixture; mixing and homogenizing of this gel with the second component that consists of a curing aliphatic compound; and, optionally, addition and mixture to cork dust to the previously mentioned mix.