This paper suggests a formal approach for specifying and verifying multi-agent applications. This approach provides a specification language which integrates temporal logic in the Z notation allowing, in this way, to cover static, behavioural, as well as dynamic aspects of a multi-agent application. Then, we will present the syntax and the semantics of the proposed language, particularly, we provide a temporal model according to the framework of Z. Our approach allows us to rigourously reason about interesting properties of multi-agent systems. Finally, we illustrate our approach by verifying an agent based specification for the pursuit problem. We make use of the Z/EVES tools to analyse and reason about our specifications.