To effectively suppress laser speckle and truly achieve a large color gamut, high brightness, and excellent picture quality of laser display and imaging systems, a speckle suppression method based on tracked motion flexible diffractive optical elements （DOEs） is proposed and demonstrated. The design, manufacture, durability, and speckle suppression effect of the flexible DOE loop are studied. First, the optical structure design of the flexible DOE is presented, and the mechanism of dynamic two-dimensional diffraction encoding by the tracked moving flexible DOE loop is described. Next, the preparation of the working stamper, hot pressing, and ring-joining processes of the flexible DOE loop are introduced. A laser projection system was set up to test speckle contrast and durability of flexible DOEs composed of polyvinyl chloride （PVC） and polypropylene （PP）. The experimental results show that the proposed laser speckle suppression method based on a flexible DOE loop with tracked motion has the advantages of lower speckle contrast, smaller size, and lower power consumption. The speckle contrast can be reduced to less than 5% for red, green, and blue lasers. During the 30 day experiments, the PVC and PP flexible DOE loops did not have evident deformation and attenuation of the speckle suppression effect. Furthermore, the PP flexible DOE loop had a more apparent and improved durability compared with the PVC flexible DOE loop. The proposed method satisfies the requirements of large color gamut, high brightness, and excellent picture quality and has the advantages of miniaturization, low power consumption, and high reliability.