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This talk is based on the papers Irina Ya. Aref’eva, Ali Hajilou, Alexander Nikolaev, Pavel Slepov, «Holographic QCD running coupling for light quarks in strong magnetic field», Phys.Rev.D 110 (2024) 8, 8; and Irina Ya. Aref’eva, Ali Hajilou, Alexander Nikolaev, Pavel Slepov, «Holographic QCD Running Coupling for Heavy Quarks in Strong Magnetic Field», [arXiv:2503.07521 [hep-th]]. We investigate the behavior of the running coupling constant in strongly magnetized QCD matter using bottom-up holographic models. Our analysis is based on a magnetized Einstein–Maxwell–dilaton background and includes both light and heavy quark sectors. For each case, we examine how the running coupling \(\alpha\) depends on temperature, chemical potential, and magnetic field. We employ boundary conditions that ensure agreement with lattice results for the string tension. Our findings show that \(\alpha\) decreases with increasing magnetic field at fixed temperature and chemical potential, for both light and heavy quarks. A key distinction lies in the location of the first-order phase transitions, which differ between the models. However, near these transitions, \(\alpha\) in both cases exhibits discontinuous behavior and self-similar jumps depending on the external parameters. This study sheds light on the non-perturbative QCD dynamics under extreme conditions and the role of quark mass in magnetized environments.