A measurement system integrating Fringe Projection Profilometry (FPP) and Digital Image Correlation (DIC) combines the temporal domain advantages of the former with the spatial domain strengths of the latter, enabling high-precision spatiotemporal measurements. However, in such a hybrid system, speckle pattern noise significantly compromises measurement accuracy. To address this issue, this paper proposed a pixel-wise iterative noise suppression method for speckle images and provided a theoretical derivation to elucidate its denoising mechanism. Numerical simulations were first conducted to investigate the effects of image sequence quantity and noise level on the method's performance. Subsequently, the effectiveness of the method was further validated through a wedge pure translation experiment and a four-point bending experiment on an acrylic beam. Finally, comparative results with traditional Three-Dimensional DIC (3D-DIC) demonstrate that the proposed method markedly reduces measurement errors induced by speckle noise. Both numerical simulations and experimental results confirm that the proposed method significantly enhances the accuracy of displacement and strain measurements.