Method and device for monitoring the health of a turbine engine of an aircraft provided with at least one turbine engine

The method involves acquiring a monitoring parameter of a turbine engine of an aircraft i.e. rotary wing aircraft, and determining whether the aircraft is flying in level with forward flight. A stability of the monitoring parameter is verified. A measurement signal (SIG) giving a measurement of a monitoring parameter in compliance with sampling defined by the manufacturer is acquired. The signal is filtered by a high-pass filter over a long duration (TPS1) and measuring amplitude (A1) of the signal that does not exceed a threshold. The parameter is acquired if the parameter is stable. An independent claim is also included for a healthcheck device.