When some attributes of a formal context can be decomposed into some subattributes a model of layered concept lattice to improve the efficiency of building concept lattice with complex structure attribute data is studied, the relationship between concept lattice and layered concept is discussed. Two algorithms are proposed: one is the roll-up building algorithm in which the upper concepts are built by the lower concept and the other is the drill-down algorithm in which the lower concepts are built by the upper concept. The examples and experiments show that the layered concept lattice model can be used to model complex structure attribute data, and the roll-up building algorithm and the drill-down algorithm are effective. The layered concept lattice model expands the scope of the research and application of concept lattice, the roll-up building algorithm, and drill-down algorithm of layered concept lattice to improve the efficiency for building concept lattice.