  We consider the massless Dirac operator $H=\alpha \cdot D+Q(x)$ on the
Hilbert space $L^{2}(\mathbb{R}^{3},\mathbb{C}^{4})$, where $Q(x)$ is a
$4\times4$ Hermitian matrix valued function which suitably decays at infinity.
We show that the the zero resonance is absent for $H$, extending recent results
of Sait\={o}-Umeda and Zhong-Gao.
