A method for predicting a short-term flight path of an aircraft, a computer program product, an associated prediction device, a guidance method, and a guidance system of an aircraft are disclosed. In one aspect, the flight path of the aircraft is associated at each time moment with a vector including at least one component from among a position of the aircraft, attitudes of the aircraft and order 1 and 2 time derivatives of the position and attitudes. The short-term flight path is the flight path of the aircraft for a time period of up to 30 seconds from a computation time of the flight path. The method includes acquiring a control signal representative of a displacement of a primary control member of the aircraft and predicting, at a subsequent prediction time, at least one component of the short-term flight path of the aircraft.