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The present paper attempts to investigate the problem of robust H<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mo>&#8734;</mo> </msub> </semantics> </math> </inline-formula> control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mo>&#8734;</mo> </msub> </semantics> </math> </inline-formula> norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mo>&#8734;</mo> </msub> </semantics> </math> </inline-formula> problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities.