Large single crystals of La₈Cu₇O₁₉ have been grown using the travelling-solvent floating zone method. A rather high oxygen pressure of 9 bar in the growth chamber and a slow growth speed of 0.5 mm/h were among the most important parameters in stabilizing the growth of this incongruently melting compound. Interestingly, a novel growth scenario has been witnessed. The crystal structure of the grown La₈Cu₇O₁₉ crystal has been analyzed using single crystal diffractometry to extract important structural parameters of this compound. We find that La₈Cu₇O₁₉ crystallizes in a monoclinic structure with space group C2/c and has the lattice parameters a13.83Å, b3.75Å, c34.59Å, and β99.33°, in good agreement with the data obtained on polycrystalline samples in the literature. The magnetization shows a highly anisotropic behavior, and an anomaly at T 103 K.