Insulin is secreted from the pancreatic beta cell,accompanied by biological discharge activities.For the diversity of mathematical models about discharge behavior,we choose a representative threedimensional polynomial model to study synchronization of two pancreatic β cells in electrical coupling for the convenience of theoretical analysis.By constructing the appropriate Lyapunov function,using the linear matrix inequality,solving the differential inequality,we obtain theoretical criteria of global asymptotically synchronization and global exponentially synchronization.Numerical simulations show feasibility of theoretical results by applying MATLAB.