To solve the seam tracking problem of mobile welding robot, a new controller based on the dynamics of mobile welding robot was designed using the method of backstepping kinematics into dynamics. A self-turning fuzzy controller and a fuzzy-Gaussian neural network (FGNN) controller were designed to complete coordinately controlling of cross-slider and wheels. The fuzzy-neural control algorithm was described by applying the Gaussian function and back propagation (BP) learning rule was used to rune the membership function in real time by applying the FGNN controller. To make the tracking more quickly and smoothly, the neural network controller based on dynamic model was designed, which utilized self-learning and self-adaptive ability of the neural network to deal with the partial uncertainty and the disturbances of the parameters of the robot dynamic model and real-time compensate the dynamics coupling. The results show that the selected control input torques make the system globally and asymptotically stable based on the Lyapunov function selected out; the accuracy of the proposed controller tracing is within 0.4 mm and can satisfy the requirements of practical welding project.