In comparison to static and ultrasound methods, the examined method of measuring the modulus of elasticity of carbon fibres (tow) has the following advantages: the method of measurement is contactless and nondestructive; the minimum necessary linear size of the tow required for the measurement (5 cm) is much less than for other existing methods; the results of the measurement are not a function of the method of fastening and tension of the tow; continuous monitoring of the elastic properties during movement of the tow is possible; the E of the tow in both elastic and in the initial fibre material can be measured; this allows measuring the modulus of elasticity of fragments of structures manufactured with fibre materials.