Being developed by Joint Video Exploration Team (JVET), Future Video Coding (FVC) aims at higher resolutions and higher compression performance than the state-of-the-art HEVC standard, undoubtedly at the cost of further computing increases. As an efﬁcient computing platform, Graphics Processing Unit (GPU) is often used to accelerate encoding. But with the adoption of instruction set acceleration in the reference software of FVC, previous methods often become less efﬁcient or even lead to a lower speed. In this paper, based on the comparative analysis of the time consumption between HEVC and FVC, we propose a GPU based acceleration method for the most computation-intensive step – frame interpolation of FVC, where frame caching strategy and a multi-stream mechanism is designed to make the best of GPU resources. Experimental results show that compared with the instruction set accelerated reference software of FVC, our method could achieve average 67.12% speed-up gains on the interpolation module and average 6.35% speed-up gains on overall encoding with exactly the same performance as before.