The invention relates to a method for devulcanizing a sulphur-cured rubber, which rubber contains a network of a polymer, which polymer has a main chain of carbon atoms, in which for the vulcanization per 40 carbon-carbon bonds in the main chain a maximum of 1 unsaturated carbon-carbon bond occurs, by heating the rubber in the presence of a devulcanizing agent. The devulcanizing agent is an amine compound.