We have succeeded in the crystal growth of the superconducting La 2-x-yBaxSryCaCu2O6 of the La2126 phase by only the traveling-solvent floating-zone (TSFZ) method without the hot-isostatic-pressure (HIP) treatment. In the TSFZ growth, we added a small amount of B2O3 to the solvent for the stabilization of the growth and used high-pressure oxygen of ∼ 10 atm as a growth atmosphere for the suppression of oxygen defects. We have obtained single crystals with the size of the order of 2×2×3 mm3 and determined the composition to be La1.80Ba0.07Sr0.19Ca 0.97Cu1.97O6 by the inductively-coupled-plasma atomic-emission-spectrometry. The powder x-ray diffraction has revealed that the crystals are of the single phase of La2126 and include no impurity phases such as La2-xMxCuO4 (M: alkaline earth). The as-grown single crystals have shown superconductivity of the bulk with the transition temperature Tc = 20 K.