Let R be a commutative Noetherian ring and \(\mathfrak {\text { a}}\) be an ideal of R. Let M be a finitely generated R-module with \(\text {cd}(\mathfrak {\text { a}},M)=c\ge 1\) . In this paper, it is shown that \(\text {height}\big (\text {Ann}_R H^c_{\mathfrak {\text { a}}}(M)/\text {Ann}_R M\big )=0\) or \(\text {Att}_R H^c_{\mathfrak {\text { a}}}(M)=\{\mathfrak {\text { p}}\in \text {Supp}M: \text {Ann}_R H^{c-1}_{\mathfrak {\text { a}}}(R/\mathfrak {\text { p}})=\mathfrak {\text { p}}=\text {Ann}_R H^{c}_{\mathfrak {\text { a}}}(R/\mathfrak {\text { p}})\}.\)
