Instability destruction of rock formation has been one of the major disasters in geotechnical engineering. With the increasing of projects involving rock engineering and their scales being larger and larger, geological disasters of rock formation and their prevention will be a major concern of rock mechanics. Geotechnical engineers are paying a good deal of attention to the destruction caused by slope creeping slip, toppling deformation, buckling of layered rocks, buckling instability of tunnels and buckling (floor heave) destruction of top and bottom planks of mining areas. The study on these problems is important to ensuring safe construction in geotechnical engineering. In recent years, study on buckling destruction of layered rocks is in full swing at home and abroad, and a lot of results have been achieved. On the basis of on-site investigation and gathered data, rock formations are simplified as rock planks, beams and columns in accordance with their geological background and mechanical behavior and by considering their theological characteristics and structural features. In the model studies, the stress is put on the delaying time effect of bedded rock buckling, and the law of the buckling instability is fully discussed in the paper. Finally, a theoretic system for viscoelastic buckling analysis of layered rocks is established.