Objective: To simulate and analyze the design of transverse bi-planar gradient coil for MRI by using finite element analysis software COMSOL, and to provide technical support for the design and manufacturing of high performance gradient coils. Methods: Data points for winding gradient coil were initially obtained by using improved target field method for coil design from Matlab calculation, a 3D gradient coil model was then build by AUTOCAD. This model was used as the input model for COMSOL, and electro-magnetic multiple coupled fields were simulated and analyzed. Results: Based on different design requirement and parameters, different gradient coil geometric models were built to simulate and compare with the actual design. The simulation results showed that the gradient magnetic field of the desired gradient coil can meet the application requirements with less than 5% of deviation. Conclusions: Using finite element analysis based simulation, transverse bi-planar gradient coils used in MRI can be accurately modeled according to design parameters. This is very important for coil design and its manufacturing, also significant for design optimization and producing of performance optimized gradient coils.