The invention relates to an automatic rotary machine for the production of empanadas, comprising a circular rotary plate on which the empanadas are produced, actuated by a motor reducer and with pneumatic, hydraulic or other type means in the different production phases, such as dough metering, flattening, filling metering, molding, flattening and cutting. The invention includes a dough flattening disk and a folding system comprising two retractable half-moons actuated by pivot levers.