The book contains a popular science exposition of modern ideas about magnetism. Data on the magnetic properties of microparticles, atoms, weakly magnetic (diamagnetic and paramagnetic) and strongly magnetic (magnetically ordered) substances are given. The question of the magnetism of living organisms is considered. Examples of some of the newest applications of magnetism and electromagnetism in engineering are given. Systematized information on the magnetism of space objects: planets, Earth, Sun, stars, interplanetary and interstellar medium and galaxies. The universality of magnetism in nature is shown. The book has a large number of illustrations. For engineers, teachers, students, high school students and all persons interested in modern natural science and unfamiliar with the physics of magnetism.