In China, there is a great number of reserves in great role in petroleum industry in China. No doubt, petroleum in China that predicts fracture character and many unique methods in prediction and estimation of the fractured low permeability reservoirs,which plays a it has a directive effect on exploratory development of distributive law in low permeability reservoirs. There are fracture for low permeability reservoirs in oil and gas basin. However, because of complexity of fracture factor and development multistages. The prediction and estimation of fracture are still exploratory phase in low permeability reservoirs. In the paper, the research situation and progresses on prediction of natural fracture ,the research methods of prediction in different genetic type for natural fracture and the problem and settlement methods of fracture study are summarized.