Thanks to the new positioning and information capture technologies; trajectory data which handle information related to moving objects can be captured and treated. This gave birth to a new data warehouse type called trajectory data warehouse that is essential to model and to implement to analyze and understand the nature and the behavior of movements of objects in various contexts. However, it is still difficult to find references models, since classical conceptual modeling does not incorporate the specificity of trajectory data due to the complexity of their components that are spatial, temporal and thematic (semantic). Motivated by this luck, we propose in this paper a new modeling framework based on an UML profile to support the conceptual modeling or design of data resulting from moving objects.