The fracture vertical stretching distance and fracture morphologies have great impact on the stimulated reservoir volume and well production in layered formation reservoirs. However, the prediction of fracture height shows large biases with the actual height in field operation. Fracture vertical propagation behavior and multi-field coupling mechanism are still unclear. In this paper, the fracture geometry patterns in conventional and unconventional layered formation are discussed, and multiple factors on hydraulic fracture height propagation are analyzed. We summarized advantages and disadvantages for present studies on fracture height growth and gave prospects for further research.