The invention relates to a method for monitoring at least one aircraft engine, said method including an acquisition (100) according to the first and second sets of measurements of respectively endogenous and exogenous variables. The method also includes:



a normalization (200) of the measurements of the first set relative to the measurements of the second set,
a generation (300) of a current model representative of the evolution of the behavior of the engine based on the normalized measurements,
a detection (400) of potential abnormality in the behavior of the engine based on a comparison of the current model with a reference model,
a generation (500) of a maintenance message,
a transmission (600) of said ground message,

the acquisition, normalization, generation of a current model, the detection and generation of a maintenance message being made on board the aircraft.