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We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space $\mathbb{R}^3_+$. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity \[ \limsup_{r\rightarrow 0}\frac{1}{\sqrt{r}} \left\|\left\|u\right\|_{L^2(B^+_{x,r})}\right\|_{L^\infty(t-r^2,t)} \] is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system.