This paper is concerned with the global smooth solution of the 3D generalized magneto-micropolar equations. When the velocity dissipation is logarithmically hyperdissipative and the magnetic diffusion is fractional Laplacian, based on some new observations on the nonlinear structure for the magneto-micropolar equations, it is examined the system has a unique global smooth solution ( u , w , b ) ∈ C ( [ 0 , T ] ; H s ( R 3 ) ) . AMS Subject Classification 2010: 35Q35; 35B65; 76A10; 76B03.