In　the　paper,　the　estimation　of　joint　direction-of-departure　(DOD)　and　direction-of-arrival　(DOA)　for　strictly　noncircular　targets　in　multiple-input　multiple-output　(MIMO)　radar　with　unknown　mutual　coupling　is　considered,　and　a　tensor-based　angle　estimation　method　is　proposed.　In　the　proposed　method,　making　use　of　the　banded　symmetric　Toeplitz　structure　of　the　mutual　coupling　matrix,　the　influence　of　the　unknown　mutual　coupling　is　removed　in　the　tensor　domain.　Then,　a　special　enhancement　tensor　is　formulated　to　capture　both　the　noncircularity　and　inherent　multidimensional　structure　of　strictly　noncircular　signals.　After　that,　the　higher-order　singular　value　decomposition　(HOSVD)　technology　is　applied　for　estimating　the　tensor-based　signal　subspace.　Finally,　the　direction-of-departure　(DOD)　and　direction-of-arrival　(DOA)　estimation　is　obtained　by　utilizing　the　rotational　invariance　technique.　Due　to　the　use　of　both　noncircularity　and　multidimensional　structure　of　the　detected　signal,　the　algorithm　in　this　paper　has　better　angle　estimation　performance　than　other　subspace-based　algorithms.　The　experiment　results　verify　that　the　method　proposed　has　better　angle　estimation　performance.