Combinatorial matrix theory, including combinatorial analysis, resistance distances, sign pattern matrices, spectral graph theory and so on, is an important area in com-binatorics. It is widely recognized that tensors are hyper-order generalized matrices. Naturally, combinatorial matrix theory will be developed to combinatorial tensor the-ory. In this talk, we will introduce some combinatorial tensor topics which are generalized from combinatorial matrix, including combinatorial tensor analysis, sign pattern tensors and spectral hypergraph theory.