Single-crystal fiber (SCF) is a new type of one-dimensional crystal material that combines the advantages of bulk crystal and glass fiber. It has excellent physicochemical and thermal management properties, and has huge application potential in laser, scintillation, and sensing. At present, the two main growth methods of SCFs are micro-pulling down (μ-PD) method and laser heated pedestal growth (LHPG) method. The LHPG method does not need crucible in the growth process and the SCFs with smaller diameter can be prepared to give full play to the morphological advantage of the fiber. Therefore, the LHPG SCF apparatus with independent intellectual property rights is developed, and Al2O3, YAG,LuAG and other SCFs are grown. The diameter of the YAG SCF can reach 200 μm, the length is 710 mm, and the aspect ratio is more than 3500:1. At the same time, the diameter uniformity and crystallization quality of the SCF are investigated, which shows that the quasi-one-dimensional SCF still has good physicochemical properties.