Part 1 of this review is devoted to modern concepts of mechanisms of action of weak natural and artificial electromagnetic fields (EMF) on the cardiovascular system at the cellular, molecular, and atomic levels with the participation of Ca2+ and melatonin. EMF are known to affect Ca2+ homeostasis and suppress melatonin activity in a wide wavelength range. Ca2+ ions in pinealocytes are involved in regulation of cAMP synthesis that mediates conversion of serotonin into melatonin. Their leakage from pinealocytes results in a decrease of the cAMP level and thereby suppresses production of melatonin. At the same time, the cyclic circadian rhythm of melatonin secretion controls the overall activity of human body from eating to sleep and metabolism.