Abstract: On July 4, 2012, the ATLAS and CMS collaborations at the Large Hadron Collider at CERN jointly announced the discovery of a scalar particle with properties similar to the Higgs particle predicted by the Standard Model; this was confirmed afterward by a large number of experimental data. As the only fundamental scalar (spin-zero) particle, the Higgs boson occupies a unique position in the Standard Model, so the study of its properties is a hot topic in theoretical particle physics. This paper briefly discusses the theoretical problems and progress of Higgs particle physics.