Recently, CT burst errors originally defined for block codes have been generalized to CT burst errors for array codes \cite{CT}. In order to establish a Rieger's type bound for array codes with respect to CT burst errors. Here, we introduce a CT burst error weight enumerator whose coefficients represent the number of CT
burst errors of a particular weight. The method of obtaining the CT burst error weight enumerator is obtained by generating function like approach and it does not involve solving equations as presented in \cite{CT}.