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This paper reviews the NTIRE2021 challenge on burst super-resolution. Given a RAW noisy burst as input, the task in the challenge was to generate a clean RGB image with 4 times higher resolution. The challenge contained two tracks; Track 1 evaluating on synthetically generated data, and Track 2 using real-world bursts from mobile camera. In the final testing phase, 6 teams submitted results using a diverse set of solutions. The top-performing methods set a new state-of-the-art for the burst super-resolution task. * Goutam Bhat, Martin Danelljan, and Radu Timofte at ETH Zurich are the NTIRE 2021 challenge organizers. The other authors participated in the challenge and are listed alphabetically. Appendix A contains the participants' team names and affiliations. NTIRE 2021 webpage: https://data.vision.ee.ethz.ch/cvl/ntire21/