In　this　article,　the　3D　Voigt-regularized　Magnetohydrodynamic　equations　are　considered,　for　which　it　is　unknown　if　the　uniqueness　of　weak　solution　exists.　First,　we　prove　that　the　uniform　global　attractor　exists　by　constructing　an　evolutionary　system.　Then　singular　limits　of　this　system　are　established.　Namely,　when　a　certain　regularization　parameter　disappears,　the　convergence　of　global　attractors　is　shown　between　the　3D　autonomous　Voigt-regularized　Magnetohydrodynamic　equations　and　Magnetohydrodynamic　equations.　©　The　Author(s),　under　exclusive　licence　to　Springer　Nature　Switzerland　AG　2024.