The concept of exception handling is important for building reliable software. An exception construct is proposed in this paper, which implements an exception handling mechanism that is suitable for concurrent software architectures. The aim of this exception construct is to bring exception handling to a high-level of abstraction such that exception handling does scale well with the complexity of the system. This is why the exception construct supports a CSP-based software design approach. The proposed exception construct embraces informal semantics, but which are intuitive and suitable to software engineering. The exception construct is prototyped in the CSP for Java library, called CTJ.