The existing tools for the response-time analysis of Controller Area Network (CAN) support only periodic and sporadic messages. They do not analyze mixed messages which are implemented by several higher-level protocols based on CAN that are used in the automotive industry. We present a new response-time analyzer for CAN that supports periodic and sporadic as well as mixed messages. Moreover, it supports the analysis of the system where periodic and mixed messages are scheduled with offsets. It will support the analysis of all types of messages while taking into account several queueing policies and buffer limitations in the CAN controllers.