In　this　paper,　we　construct　the　exact　solution　of　two-　or　three-dimensional　spacetime　Landau-Lifshitz　equation　raised　in　the　ferromagnetic　materials.　Under　suitable　transformations,　some　exact　solutions　are　obtained　in　the　radially　symmetric　coordinates　and　nonsymmetric　coordinates.　The　type　of　solutions　cover　the　finite　time　blow-up　solution,　vortex　solution　and　periodic　solution.　In　the　end,　we　sketch　some　solutions　and　their　spatial　curvatures.