The method of the present invention comprises: Obtaining an explant from the seeds of Jatropha curcas; Putting the explant derived from the seed of Jatropha curcas in a culture medium; Breaking the intercellular unions of the explants tissue, which generates individuals cells; Incubating for a determined time the culture medium with the generated individual cells, that were multiplied; and, Extracting oil from the cells that multiplied from the individual cells generated from the explants derived from the Jatropha curcas seed.