Dynamical properties of a system near the critical point are sensitive to the critical correlation length. Understanding critical dynamics is crucial for searching for QCD critical point in heavy-ion collision program. I report recent theoretical developments on understanding dynamical properties of QCD matter near the critical point. In particular, I will discuss the real time evolution of non-Gaussian fluctuations in QCD critical regime by taking both universal equilibrium properties and universal non-equilibrium physics into account. I will also report the dependence of heavy drag diffusion on the critical correlation length. Finally, I will discuss the implications of our studies on search for QCD critical point and their connection to condensed matter systems near the critical point.