Semiconductor quantum dot is one of the promising ways to realize solid-state quantum computing. The key is to obtain high-quality semiconductor quantum computing materials. Silicon and germanium can be isotopically purified to achieve nuclear spin-free isotopes, meeting the requirement for long decoherence time. They are also compatible with the current CMOS technology, thus making them ideal material platforms for large scale integration. This review first summarizes the important progress of semiconductor quantum-dot quantum computing in recent years, then focuses on the material progress including the silicon-based Si/SiGe heterostructures, Ge/SiGe heterostructures, and Ge/Si one-dimensional wires, finally presents the outlook about the development of silicon and Ge quantum computing materials.