The present invention describes a method for the production of one or more olefins from the residue of at least one renewable natural raw material. The present invention is advantageously related to a method that is integrated with a processing method for processing renewable natural agricultural raw materials for the production of propylene, and optionally of ethylene and butylene, mainly from the residues of the processed renewable natural agricultural raw material. The propylene is obtained from the gasification reaction of the lignocellulosic materials and of other organic products contained in the raw material residues, followed by the formation of methanol and its subsequent transformation into propylene, where this route may further generate ethylene and/or butylene as by-products.