In this work we have studied the possibility to enhance the thermopower anisotropy in Bi and Bi-Sn nanowires under the influence of elastic tension and low magnetic field. Glass coated single-crystal Bi and Bi-Sn wires with diameters 100 nm-2 μm were manufactured by the liquid phase casting method. The wires with trigonal orientation were prepareded by the method of zone recrystallization of wires with standard orientation (1011). This made it possible to study the thermopower anisotropy of the wires without magnetic field. It is shown that low magnetic field, Sn doping and elastic tension leads to a significant increase in the absolute value of thermopower and in its anisotropy at 250-300 K. This is important for the design of transverse anisotropic thermoelements with low useful current. The stable thermoelectric properties, high flexural strength, and long wire length allow designing anisotropic thermoelectric devices of various configurations.