The invention relates to a method for controlling a turbine engine (5) which includes a compressor (8), a combustion chamber (9), first and second turbines (10, 12), a first rotary shaft (11) rotatably secured to said compressor and to said first turbine, a second rotary shaft (13) to which the second turbine is rotatably secured, said second rotary shaft being freely rotatable relative to the first rotary shaft, and a controller (15) for controlling the fuel supply to the combustion chamber. Said controller interrupts the fuel supply to the combustion chamber if a speed of rotation (N2) of said second rotary shaft exceeds a maximum threshold (N2imax) which varies according to at least one indicative physical parameter associated with a mechanical power extracted from combustion gases in the second turbine.