IGBT terminal capacitances play an important role in IGBT switching transients. The terminal capacitance modelling, particularly Miller capacitance modelling, is a difficult task due to their operating-point-dependent characteristics. Previously, for the planar gate IGBT, the Miller capacitance's voltage dependency is modelled by considering the depletion region growth pattern. For modern trench gate design, however, there is no similar dynamic process available. Also, its current dependency needs to be taken account of. This paper presents an improved IGBT physics-based model with proper terminal capacitance correction. By comparison of experimental and simulation results, the proposed model works brilliantly for different types of IGBTs (including the state-of-art trench-gate field-stop type) over a wide range of operating conditions.