In the present work, the cast glass-coated amorphous microwires manufactured by the Ulitovsky-Taylor method are studied. Interest in the cast glass-coated amorphous microwires has greatly increased in the last few years mainly due to their technological applications, in particular, as the sensor elements in the various devices. Technological aspects of the Ulitovsky-Taylor method for the preparation of the glass-coated microwires with the different radius are analyzed. It is essential that the microwires are manufactured using a rapid solidification technique. The geometrical characteristics of a microwire depend on the physical properties of a metal and of glass, the diameter of the initial glass tube, and the parameters of the heating inductor. The given method provides the microwire geometric parameters of within the wide ranges. Respectively, a metallic core diameter in these microwires can range from 0.5 to 70 μm, and their glass-coating thickness can be varied from 1 to 50 μm. Moreover, the length of the derivable samples can reach up to 104 m. The obtained microwires exhibit the magnetic properties, which are high dependent on the metallic core composition, and similarly as it was done here for the residual stresses, they can be expressed through the microwire geometric parameters.