The multi-dimensional hyperviscous magnetohydrodynamics equation is considered in this paper. The well-posedness of the multi-dimensional hyperviscous magnetohydrodynamics equation is proved. Global attractor of the multi-dimensional hyperviscous magnetohydrodynamics equations is proved in Η^1/2+n/4×Η^1/2+n/4 and Η^1+n/2×Η^1+n/2.