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With the continuous development of the internet, operational environments of software have undergone tremendous change. One of the significant changes in the software operational environment is more open. The operational profiles under open environment are much more complex and unpredictable. It is an important property for the operational profiles under open environment to change continually over time. In the traditional software operational profile modeling, there is an assumption that software operational profile should be defined in a certain probability space. However, for the open operational software systems, it is difficult to define such a certain probability space, because there is often not a limited boundary for the operations of such system. So, the question arises: how to model the software operational profile when software operational environment is open? In the paper, partial probability space is proposed to describe the varying probability space, and based on this concept an operational profile model under open operational environment is developed.