This paper presents the privacy preserving End-To-End (E2E) Quality of Service (QoS) mechanism in multi-domain Software Defined Network (SDN). Guaranteed E2E QoS needs complete information about the network. But, in multi-domain SDN, information sharing among different operators mainly have privacy and security issues; thus, operators may not share such network information. Moreover, such information collection is not only computationally expensive but also it requires a lot of message exchange between the domain controllers. Hence, we propose PRIME-Q, a PRIvacy aware E2E QoS framework in Multi-domain SDN. In PRIME-Q, instead of collecting the required information about the network at a single location, the data is distributively processed, and only the binary decision is reported at a single point to take the final decision about E2E QoS. To quantify the gain of PRIME-Q, we define Privacy Index to measure the privacy of E2E QoS coordination in multidomain SDN. The results show that the learning approach of PRIME-Q can achieve the required E2E QoS with maximum privacy. Further, the numerical results for PRIME-Q show a significant reduction in the communication and computation overhead in the network. © 2019 IEEE.