The invention discloses a non-local low-rank transformation domain and a fully connected tensor decomposition image reconstruction method and device, including: S1, inputting an image to be repaired; S2, constructing a tensor decomposition model, including: S2.1, segmenting the input image, Obtain the non-local tensor block; S2.2, introduce the non-local tensor block into the B-spline transformation domain, and obtain the transformation domain form of the non-local tensor block; S2.3, construct the non-local similarity through the non-local tensor block Tensor block group; S2.4, combine fully-connected tensor decomposition to construct fully-connected tensor decomposition factors; S2.5, construct a low-rank tensor completion model, and optimize it according to S2.1‑2.4 to obtain a Local low-rank transformation domain and fully connected tensor decomposition model; S3, construct an image inpainting model, obtain the image to be inpainted, and obtain the inpainted image through the inpainted image tensor block group obtained by the tensor decomposition model. This makes the image reconstruction more accurate in spectral image restoration.