The notion of \(L_{p}\) stability describes the impact of external disturbances on the system output. This chapter addresses the problem of \(L_p\) stability analysis of continuous-time NNs with multiple time-varying transmission delays. There is no boundedness restriction on the delays. A direct method based on system solutions is proposed to obtain \(L_p\) stability criteria of the considered continuous-time NNs. This method is in terms of the definition of \(L_{p}\) stability rather than constructing any LKF, which can greatly reduce the derivation process. On the one hand, the method is effective to deal with the cases of multiple delays. On the other hand, the method can give simpler \(L_p\) stability conditions, which is helpful to reduce the computational complexity. The effectivity of the derived \(L_p\) stability conditions is illustrated by representative numerical examples.