In this paper a convergence criteria of a branched continued fraction with nonequivalent variables whose partial quotients are of the form qi(k)ikqi(k-1)ik-1(1-qi(k-1))zi(k)1" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">qiki(k)qik−1i(k−1)(1−qi(k−1))zi(k)1��(�)����(�-1)��-1(1-��(�-1))��(�)1 is established. As a results, convergence criterions for similar branched continued fractions with nonequivalent variables are established and the convergence domain for multidimensional g-fraction with nonequivalent variables in the polydisk is investigated.