A new method is proposed for growing Y 1 Ba 2 Cu 3 O 7 -δ (YBCO) rods and special growth regimes are described which provide decreasing losses in these rods in the superconducting state. It is shown that the thermocapillary mechanism of liquid phase transfer during the melting and crystallization of YBCO is responsible for the formation of a nonsuperconducting phase at the boundaries between crystal blocks. Results of the measurement of current-voltage characteristics of YBCO rods in the superconducting state are presented.