According to the World Health Organization, by 2022, nervous system disorders is the second leading cause of death worldwide and the leading cause of disability-adjusted life years. The two primary diagnostic subgroups of common mental diseases are depressive disorder/depression and anxiety disorder. Depression is the leading cause of disability worldwide (7.5% of all years with disability), and anxiety disorders are ranked sixth (3.4%). Furthermore, depression is a major factor in the approximately 800,000 suicide fatalities that occur each year. According to World Health Organization data, by 2022, approximately 322 million people worldwide with depression, and from those 4,480,113 total cases are found in Ethiopia. Brain disorders are thought to arise from abnormal neural activities, and neuromodulation methods are becoming increasingly popular because they can directly manipulate these neural circuits. Non-invasive brain stimulation via transcranial magnetic stimulation, which uses a magnetic pulse to activate a specific brain region, or transcranial direct current stimulation , which uses a mild electrical current to modulate neuronal activity, is effective for research and have potential therapeutic applications in health facilities. For the exploration of neurophysiology, cognitive, emotional, and other behavioral domains in healthy controls, as well as for the treatment of patients suffering from various neuropsychiatric illnesses, Transcranial magnetic stimulation and direct current stimulation are regarded as safe and well-tolerated therapies. Transcranial magnetic stimulation activates deep brain regions responsible for depression, resulting in significant improvement for patients, including those who had tried multiple antidepressant cycles and it is a novel, non-invasive, and effective depression treatment. In this thesis, we design, simulate and analyze non-invasive brain stimulation system for depression recovery. We first assess and investigate the current impact level of depressive disorder in the local community, as well as the challenges and obstacles to treatment, and then we review the effectiveness of non-invasive brain stimulation for depression treatments. Then we use fast electrical and electromagnetic field distribution computational model software packages to design and simulate non-invasive transcranial magnetic brain stimulation for the treatment of brain depression, as well as to optimize and analyze the design and simulation outputs. Keywords: Brain depression, Computational model, NIBS, Mental disorder, TDCS, TMS