Attention operators have been applied on both 1-D data like texts,and higher-order data such as images and videos. Use of attention operators on high-order data requires flattening of the spatial,or spatial-temporal dimensions into a vector, which is assumed,to follow a multivariate normal distribution. This not only incurs,excessive requirements on computational resources, but also fails,to preserve structures in data. In this work, we propose to avoid,flattening by assuming the data follow matrix-variate normal distributions. Based on this new view, we develop Kronecker attention,operators (KAOs) that operate on high-order tensor data directly.,More importantly, the proposed KAOs lead to dramatic reductions,in computational resources. Experimental results show that our,methods reduce the amount of required computational resources,by a factor of hundreds, with larger factors for higher-dimensional,and higher-order data. Results also show that networks with KAOs,outperform models without attention, while achieving competitive,performance as those with original attention operators.