With the widespread application of intelligent detection robots for power fittings, the stability control of their motion and gait has become a key issue of concern. This paper conducts research on this issue and proposes an effective control technique. Firstly, the motion characteristics of the intelligent detection robot for power fittings were analyzed, including mechanical structure, dynamic characteristics, and other aspects. Then, based on the wavelet neural network algorithm, a stability controller was designed to achieve smooth and stable motion of the robot. Finally, the effectiveness and feasibility of the proposed control technology were verified through experiments. The experimental results indicate that this control technology can improve the gait stability of the intelligent detection robot for power fittings, and enhance its work efficiency and safety.