Amorphous materials in the form of ribbons, wires and thin films require special care to be taken in measurements of magnetostriction, the field dependence of elastic moduli and the magnetomechanical coupling factor. Problems arise in these measurements because of the sample geometry and, in some cases, because of the low anisotropy commonly found in amorphous ferromagnetic materials. This paper describes the methods that have been adapted or designed to measure the main magnetomechanical properties of magnetically soft, amorphous alloys of Fe, Co and Ni, in the three forms generally available: ribbons typically 20-50 mu m thick and 1-25 mm wide; wires typically 30-130 mu m in diameter; and films 0.01-10 mu m thick, deposited on substrates 25-250 mu m thick. The methods are described in sufficient detail, supported by numerous references, to enable readers to make a critical choice between them, taking into account such things as the temperature range, sensitivity and geometry. Magnetostriction measurements are classified as direct or indirect. The direct methods covered are the strain gauge, three-terminal and cantilever capacitance dilatometry, optical methods and the tunnelling tip method. Indirect methods include the small-angle magnetization rotation (SAMR) method, susceptibility measurements, the Wiedemann effect and strain-modulated ferromagnetic resonance (SMFMR). The methods described for measuring the field dependence of Young's modulus (the Delta E effect) and magnetomechanical coupling factor k are the resonance-antiresonance method, including the use of the impedance or admittance circle, the vibrating reed method and ultrasonic wave velocity methods. The use of a torsional pendulum for measuring the shear modulus and internal friction is also described.