This paper is centered on addressing the problem of \(H_{\infty }\) dynamic output feedback control for singular fractional-order systems (FOSs) with uncertainty, whose the fractional derivative of order \(\alpha \) belongs to \(0 <\alpha <1\) . The necessary and sufficient conditions for the bounded real lemma corresponding to \(H_{\infty }\) norm for singular FOSs are proposed without equality constraints in the form of linear matrix inequalities (LMIs). Compared with existing results, the LMI conditions involve real matrices instead of complex matrices, which are easier to solve. Secondly, for singular FOSs with uncertainty, the \(H_{\infty }\) controller synthesis problem is analyzed and the corresponding \(H_{\infty }\) dynamic output feedback controller is designed based on the bounded real lemma. It is shown that the proposed controller can guarantee system admissibility and achieve better \(H_{\infty }\) performance. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.