There are five structure subarea of hollow- syncline, anticline-nose shape, stratum overturn, fault and apophysis or heave by in the Huiming hollow, Shandong province. According to gridding cell of 4 Km2 quantity each structural geology body. Coalescent depth of earthquake reverberation, geophysical anomaly of line integral, radioactivity measure, gravity and magnetic field. Analysis in ternality relation of oil-gas store and geological signals, Founding quantify mo de of oil-gas evaluation. Delineating preferable area of oil-gas by Adaptive Resonance Theory (ART-ANN ) using the eighteen geological variables. A three-layer Back-Propagation (BP) n eural network with one hidden layer is used delineating potential oil-gas area. The input layer consists of the eighteen geological variables. The output is the oil-gas favorable value of awareness cell (between 0 and 1). Based synthesis ch aracteristic analysis and neural network, Trap eight potential areas in the frin ge of hollow, and nine new preferable areas of oil-gas in the north-east and sou th of the Huiming hollow.