In　this　paper　a　fast　haze-removing　algorithm　from　a　single　image　is　presented　based　on　physical　model.　The　main　contributions　of　our　algorithm　compared　with　others　are　it　can　reduce　the　Halo　effects　physically　and　its　high　speed.　In　this　algorithm,　we　take　the　place　of　median　of　median　filter　using　the　guided　filter　to　get　the　atmospheric　veil　and　handle　the　details　of　the　object　edge.　As　guided　filter　is　a　fast　and　efficient　edge-preserving　filter,　our　algorithm　has　lower　time　and　space　complexity.　Several　experiments　show　that　our　algorithm　can　recover　the　image　fast　and　avoid　Halo　and　blocking　effects　physically　and　improve　the　visibility　of　image　greatly.