An apparatus for cooling and processing a molten product into a granulate product which apparatus comprises a displaceable support consisting of at least one substantially horizontal, disk-shaped element arranged for rotation about a substantially vertical shaft, means for depositing the molten product on the support, cooling means containing cooling liquid channels closed in themselves that form part of the disc-shaped element and, without connection with the environment, connect to feed and discharge means, and means for removing the molten product from the support in granulate form. Preferably, a double spiral-shaped channel is present per disk-shaped element, and the means for depositing the molten product on the support comprise a dispenser adapted to dispense the molten product batchwise or dropwise.