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A semi-relativistic Pauli-Fierz model is defined by the sum of the freeHamiltonian $H_{\rm f}$ of a Boson Fock space, an nuclear potential $V$ and arelativistic kinetic energy: $$H=\sqrt{[\sigma\cdot(\mathbf{p}+e\mathbf{A})]^2+M^2} - M + V + H_{\rm f}. $$Let $-e_0<0$ be the ground state energy of a semi-relativistic Schr\"odingeroperator $$ H_{\rm p}=\sqrt{\mathbf{p}^2+M^2} - M + V. $$  It is shown that the ionization energy $E^{\rm ion}$ of $H$ satisfies$$E^{\rm ion}\geq e_0>0$$ for all values of both of the coupling constant$e\in\mathbb{R}$ and the rest mass $M\geq 0$. In particular our result includesthe case of M=0.

On the ionization energy of the semi-relativistic Pauli-Fierz model for a single particle