Generalized Multiprotocol Label Switching (GMPLS) is being applied to optical networks as a means of moving control functionality from the management plane to the control plane, and automating lightpath provisioning and maintenance. GMPLS enables IP networks with Quality of Service (QoS) to be traffic engineered efficiently. However, computation of explicitly-defined paths optimizing network performance is a difficult task. Previous versions of these optimization routines have not taken path delay, including queueing delay at layer 3, into account. In this paper we present a technique for traffic engineering in optical networks that support QoS considering the traffic flows with delay QoS constraint across lambda labeling networks. The proposed mechanism would facilitate lambda label path setup with specific dealy QoS requirements.