In our previous work on business process, we have provided the foundation for formalization based on the environment concept. The environment is defined as a set of observers whose values change according to the actions of tasks. From their values, observers are grouped to form a set of states. A state is defined as the characteristic of an environment from which the satisfaction of the goal associated to the business process is checked. In this paper, based on Denotational Semantics, we will highlight the semantics core features used in our modeling approach. By applying the resulting models in daily work, enterprises will improve their productivity and quality of service in order to deal with the competitive pressure of the network economy.