The safety system (1) for a machine equipped with a moving organ (21) comprises: a first processing unit (4) associated with the moving organ (21), configured to receive signals and comprising a command module (41) configured to alter the operation of the organ (21) itself, upon receiving an alarm signal; gloves (5) that can be worn by an operator (3); and a second processing unit (6), associated with gloves (5) and configured to transmit signals to the first unit.Each glove (5) comprises an element (51) for conducting signals, connected to the second unit (6) and crossing at least a portion of the palm and/or fingers and/or the edge zone opposite the thumb.The system (1) comprises a device for generating a safety signal connected to the conducting element (51) and the second processing unit (6) comprises a first control module (63) configured to detect an interruption of the transmission of the safety signal.The second processing unit (6) comprises an alarm module (64), subjected to the first control module (63) and able to generate an alarm signal, upon verifying the interruption of the safety signal.