The magnetic and antimagnetic rotational bands are systematically investigated in the present work. Up to now, 253 magnetic rotational bands and 40 antimagnetic rotational bands have been reported in 123 nuclei and 29 nuclei, respectively. The experimental data for these bands are collected and collated, including the level energy, γ-ray energies, spin I, magnetic dipole reduced transition probability B(M1), electric quadrupole reduced transition probability B(E2), B(M1)/B(E2), and J (2)/B(E2), etc. In addition, following the presentation of the kinematic moment of inertia J (1), dynamic moment of inertia J (2), and I versus rotational frequency ω, as well as energy staggering parameter S(I), B(M1), B(E2), B(M1)/B(E2), and J (2)/B(E2) versus I in A ∼ 60, 80, 110, 140, and 190 mass regions, a discussion is provided in detail. Based on the systematic studies, the main features of magnetic and antimagnetic rotational bands are summarized. Furthermore, some nuclei are also predicted to be candidates for magnetic or antimagnetic rotation.