Local crystal structure analysis is increasingly important in functional materials that exhibit intriguing physical properties induced by nanoscale local structures and crystal interfaces. For this purpose, the convergent-beam electron diffraction (CBED) method using nano-electron probe is extremely advantageous. Using the CBED method, we developed a quantitative analysis method of local structures and electrostatic potential distributions based on the dynamical diffraction (multiple scattering) theory, and applied it to various functional materials. Furthermore, we are developing a method to investigate spatial variations of local structures and electrostatic potential distributions in crystal interfaces and nanodomain structures by using the STEM-CBED/4D-STEM method.