According to the phenomenon that the solubility of CH ₃NH ₃PbCl ₃decreases with the increase of temperature in different solvents, CH ₃NH ₃PbCl ₃perovskite single crystal with a maximum dimension of 11 mm × 11 mm × 2 mm is grown by introducing a high-quality seed crystal via the seed-induced inverse temperature crystallization method in this work. X-ray diffraction and Rietveld refinements show that the full widths at half maximum (FWHM) of CH ₃NH ₃PbCl ₃single crystal diffraction peaks are 0.1527°, 0.1353°, 0.2295° and 0.3452°, corresponding to the crystal plane indices of (100), (200), (300) and (400), respectively. And there are no miscellaneous peaks, indicating a good crystal quality. As a result, CH ₃NH ₃PbCl ₃single crystal is of cubic phase at room temperature, its space group belongs to Pm $ \bar{3} $ m, and the lattice constant is a= 0.56877 nm. The surface morphology and growth mechanism of CH ₃NH ₃PbCl ₃crystal are investigated by using a polarizing microscope. It is found that its growth mechanism follows the step horizontal growing mechanism of smooth interface, and its growth direction (that is, step movement direction) is along the outward normal direction of the step. The structural symmetry of CH ₃NH ₃PbCl ₃crystal is studied by variable temperature Raman spectroscopy, which reveals an orthogonal-tetragonal phase transition at 160 K. But the tetragonal phase structure is not stable, and its temperature range is very narrow. As temperature rises gradually, the tetragonal phase again transforms into a cubic phase ( Pm $\bar{3}$ m). Results of UV-Vis-NIR absorption and photoluminescence spectra show that the absorption cutoff of CH ₃NH ₃PbCl ₃crystal is about 442 nm, and the photoluminescence peak is 450 nm. Thereupon, its band gap is obtained to be about 2.93 eV by a linear fit of Tauc formula, which is slightly higher than the theoretical value of 2.55 eV calculated by first principles simulation. We believe that it is related to the seed crystal, which is introduced into the crystal growth process as the core of heterogeneous nucleation and thus making the lattice more distorted. The lower the lattice symmetry of CH ₃NH ₃PbCl ₃, the larger the band gap is, that is, the lattice symmetry determines the degree of distortion for inorganic PbCl ₆octahedral frameworks, resulting in an increase of band gap for CH ₃NH ₃PbCl ₃.