A computer-implemented monitoring method of the operation of a machine supplied with electrical current, characterised in that it includes: - a learning phase of the normal operation of the machine comprising the following steps: o acquiring in the temporal domain a first electrical current signal generated by the machine; o determining a first electrical current signature corresponding to the first electrical current signal; o determining a first similarity rate between the first electrical current signature and each of the electrical current signatures recorded in a knowledge; o comparing the first similarity rate with a first predetermined threshold; o if the first similarity rate is less than the first threshold, recording the electrical current signature in the knowledge; - a monitoring phase comprising the following steps: o (E1') acquiring in the temporal domain a second electrical current signal generated by the machine; o (E2') determining a second electrical current signature corresponding to the second electrical current signal; o (E3') determining a second similarity rate between the second electrical current signature and each of the electrical current signatures recorded in the knowledge; o (E4') comparing the second similarity rate with a second predetermined threshold; o if the second similarity rate is less than the second threshold, generating an alert, the second electrical current signal being considered to reveal an anomaly; the steps (E1 to E5) of the learning phase being repeated periodically in such a way as to constitute the knowledge, the steps (E1' to E7) of the monitoring phase being repeated periodically and the monitoring method passing autonomously from the learning phase to the monitoring phase when the knowledge is considered to be constituted. - a learning phase of the normal operation of the machine comprising the following steps: o acquiring in the temporal domain a first electrical current signal generated by the machine; o determining a first electrical current signature corresponding to the first electrical current signal; o determining a first similarity rate between the first electrical current signature and each of the electrical current signatures recorded in a knowledge; o comparing the first similarity rate with a first predetermined threshold; o if the first similarity rate is less than the first threshold, recording the electrical current signature in the knowledge; o acquiring in the temporal domain a first electrical current signal generated by the machine; o determining a first electrical current signature corresponding to the first electrical current signal; o determining a first similarity rate between the first electrical current signature and each of the electrical current signatures recorded in a knowledge; o comparing the first similarity rate with a first predetermined threshold; o if the first similarity rate is less than the first threshold, recording the electrical current signature in the knowledge; - a monitoring phase comprising the following steps: o (E1') acquiring in the temporal domain a second electrical current signal generated by the machine; o (E2') determining a second electrical current signature corresponding to the second electrical current signal; o (E3') determining a second similarity rate between the second electrical current signature and each of the electrical current signatures recorded in the knowledge; o (E4') comparing the second similarity rate with a second predetermined threshold; o if the second similarity rate is less than the second threshold, generating an alert, the second electrical current signal being considered to reveal an anomaly; o (E1') acquiring in the temporal domain a second electrical current signal generated by the machine; o (E2') determining a second electrical current signature corresponding to the second electrical current signal; o (E3') determining a second similarity rate between the second electrical current signature and each of the electrical current signatures recorded in the knowledge; o (E4') comparing the second similarity rate with a second predetermined threshold; o if the second similarity rate is less than the second threshold, generating an alert, the second electrical current signal being considered to reveal an anomaly;