The x-ray scan data and video representation of those data used in the following paper to where the references should be given: Wilhelmsson, D., L.P. Mikkelsen, S. Fæster, L.E. Asp, X-ray tomography data of compression tested unidirectional fibre composites with different off-axis angles, Data in Brief, 25, 104263. https://doi.org/10.1016/j.dib.2019.104263, 2019 Wilhelmsson, D., Mikkelsen, L.P., Fæster, S., Asp, L.E, Influence of in-plane shear on kink-plane orientation in a unidirectional fibre composite. Composites Part A, 119, 283-290, https://doi.org/10.1016/j.compositesa.2019.01.018, 2019. More details on the scans can be found in the paper. The data included is the a 13 mm LFoV and a central 3mm SFoV scan. The data is saved as a 3D tiff-stack as well as a 3D reconstructed file which can be opened in e.g. Avizo. There is data for 5 cases: 0 deg, 5 deg, 10 deg, 15 deg and 20 deg For more details look into the references. A animation has been made for each can and is saved as mpg-files. In addition, the 5 animations can also be seen using the following links 0 deg: https://youtu.be/41k5RsuNs4Y 5 deg: https://youtu.be/FH7lj0mgJAY 10 deg: https://youtu.be/oW5AR_Vjjxg 15 deg: https://youtu.be/twKY42CsRG4 20 deg: https://youtu.be/_xtygVfAkSo