In　this　paper,　we　are　concerned　with　the　initial-boundary　value　problem　to　the　2D　magneto-micropolar　system　with　zero　angular　viscosity　in　a　smooth　bounded　domain.　We　prove　that　there　exists　a　unique　global　strong　solution　of　such　a　system　by　imposing　natural　boundary　conditions　and　regularity　assumptions　on　the　initial　data,　without　any　compatibility　condition.