The surface of ice and snow is slippery. This slipperiness property of ice surface has been usually explained by a lubricating layer of water film, which exists in the surface. Ice crystal has a melting layer on the surface even at low temperatures below the bulk melting point. The properties of ice surface have attracted scientific interests for more than a century, ever since 1859 when Faraday predicted the existence of a melting layer on ice surface. This paper reviews the dynamics of ice surface and the effects of the dynamics on the formation process of the melting layer in ice surface.