This paper is concerned with the problem of bounded input bounded output (BIBO) stability for a class of switched uncertain neutral system. The uncertainty is assumed to be of structured linear fractional from which includes the norm-bounded uncertainty as a special case. Firstly, by introducing the general variation-of-constants formula of neutral systems with perturbation, the BIBO stability property of general switched neutral systems with perturbation are established, which conquer the difficulties caused by the interaction between the switching rules and time delay. Subsequently, combined with the general variation-of-constants formula with stated-dependent switching scheme, the sufficient conditions of the BIBO stability are obtained in terms of the so-called Lyapunov-Metzler linear matrix inequalities (LMIs). Finally, the simulation examples are given to demonstrate the effectiveness and the potential of the proposed techniques in this paper.