Self-alignment of excited atoms which is observed in the laboratory and in astrophysical situations is reviewed. It is described classically and in terms of quantum mechanics. Astrophysical manifestations of selfalignment of excited atoms in the solar atmosphere and applications of self-alignment in magnetometry are analyzed. Self-alignment in low-pressure gas-discharge plasmas in the laboratory is described in detail. The cross sections for depolarizing collisions measured by this method are tabulated along with the lifetimes of excited inert gas atoms. These atomic constants can be used in practical magnetometry of the outer solar atmosphere.