Answer:
Yes Fuller Theological Seminary is accredited. Fuller has regional accreditation by WASC. Which is the most important accreditation that any university, college or seminary needs to have in the state of California and in the western states. Fuller is also accredited by ATS (theological/academic associations), and APA (psychological/academic associations). Fuller was the first seminary to be APA accredited. Later other top christian universities became accredited and recognized. Fuller was the pioneer. Fuller has three schools, the school of theology, psychology, and intercultural studies.
The school of psychology is also known as the Fuller Graduate School of Psychology, and option is for the alumni that choose that name. Some nations have a hostility for seminaries or schools of religious with back grounds. There for Fuller has that accommodation in name alterations to situations/cultures.