The unique magnetic properties of two-dimensional (2D) materials have demonstrated huge potential for applications in nanodevices and spintronics. In this work, we propose a new Kagome lattice, CoX (X = Cl and Br), based on density functional theory (DFT) calculation. We find that Co/X in CoX has spontaneous movement in the lattice, resulting in 156- and 12-phases of CoX and diverse magnetic and electronic properties. We show that the magnetic and electronic properties of CoX can be engineered by strain, and the magnetic properties of CoX are highly related to the spontaneous movement of X. Moreover, the transmission property of 12-CoX shows clear angle-dependent features due to the symmetry breaking as caused by the spontaneous movement of X. Our findings may provide not only a possible Kagome lattice with unique properties, but also a strategy for designing nanodevices and for spintronics.