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Eschmeier ([5]), and two finite tuples of commuting operators, $S=(S_1,\\ldots ,S_n)$ and $T=(T_1,\\ldots ,T_m)$, defined on $X_1$ and $X_2$ respectively, we consider the $(n+m)$-tuple of operators defined on $X_1\\tilde{\\otimes}X_2$, $(S\\otimes I,I\\otimes T)= (S_1\\otimes I,\\ldots ,S_n\\otimes I,I\\otimes T_1,\\ldots ,I \\otimes T_m)$, and we give a description of the semi-Browder joint spectra introduced by V. Kordula, V. M\\\"uller and V. 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