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We consider the perturbations $H := H_{0} + V$ and $D := D_{0} + V$ of thefree 3D Hamiltonians $H_{0}$ of Pauli and $D_{0}$ of Dirac with non-constantmagnetic field, and $V$ is a electric potential which decayssuper-exponentially with respect to the variable along the magnetic field. Weshow that in appropriate Banach spaces, the resolvents of $H$ and $D$ definedon the upper half-plane admit meromorphic extensions. We define the resonancesof $H$ and $D$ as the poles of these meromorphic extensions. We study thedistribution of resonances of $H$ close to the origin 0 and that of $D$ closeto $\pm m$, where $m$ is the mass of a particle. In both cases, we first obtainan upper bound of the number of resonances in small domains in a vicinity of 0and $\pm m$. Moreover, under additional assumptions, we establish asymptoticexpansions of the number of resonances which imply their accumulation near thethresholds 0 and $\pm m$. In particular, for a perturbation $V$ of definitesign, we obtain information on the distribution of eigenvalues of $H$ and $D$near 0 and $\pm m$ respectively.

R\'esonances pr\`es de seuils d'op\'erateurs magn\'etiques de Pauli et de Dirac