A method and system to compress and decode mesh data with random accessibility in a three-dimensional mesh model, the system to compress mesh data with random accessibility in a three-dimensional mesh model including: a mesh data acquisition unit to acquire mesh data from a three-dimensional mesh model having a plurality of cells; a wire mesh generation unit to generate a wire mesh including a plurality of wire cells by using the mesh data, each wire cell including at least two cells of the plurality of cells; a data structure generation unit to generate wire mesh information on the wire mesh and wire cell data including mesh data of the respective wire cells; and an encoding unit to compress the generated wire mesh information and the generated wire cell data.