The evolution rules of different land covers show some similarity, which poses a huge challenge for high-accuracy land-cover classification. Therefore, the full extraction of multiscale timing-dependency features is important for mining seasonal and phenological change laws and improving the accuracy of time-series land-cover classification. However, traditional methods are often unable to fully detect the global and local change information generated during the evolution of land covers, resulting in incomplete timing-dependency features being extracted and a low classification accuracy. The Informer network can fully capture the long-term dependence of a time series, thereby improving its classification accuracy. Therefore, we propose a high-accuracy land-cover classification method with the Informer network: (1) We continuously shorten the length of the series so that the ProbSparse self-attention mechanism can consider timing-dependencies on multi-scale, and then we can obtain the features of the local important moments; (2) we calculate the correlation between the important moments and the other moments, as well as the correlation among each moment, to fully utilize the local and global time-dependent features of the land-cover time series; and (3) we add a fully connected batch normalization module in order to use all the extracted timing dependency for classification. Finally, the proposed model is compared with traditional models on two datasets: for the reorganized BreizhCrops dataset, it achieved a performance similar to long short-term memory (LSTM); for the TiSeLaC dataset, it achieved an F1-score of 96.011%, which is 0.33% higher than the second-best model.