Aided by computer generated holography, holographic optical tweezers enable manipulation of particles and objects with exceptional versatility. The responsiveness of the manipulation is often hindered by the speed of holograph generation, especially when the number of manipulated objects is high. Here, we propose an optimized hologram generation method with an improved iterative algorithm utilizing parallel computation with graphic processing units. The algorithm requires fewer iterations to produce high-quality holograms than established methods, such as weighted Gerchberg–Saxton algorithm, leading to a responsive and stable micromanipulation. This method expands the capabilities of holographic optical tweezers and provides more responsive traps in micro-manipulation.