In this paper, we apply the formal theory to explain the cascading propagation and feedback mechanism of cross-space attacks in Cyber-Physical Power System (CPPS). The cyber-physical cross-space attack model is constructed using Markov processes, and quantitative evaluation indexes on attack impact are proposed. Based on the Linear Temporal Logic (LTL), the formal axiom architecture is proposed to describe the hybrid processes triggered by the attack event, in which the Labelled Transition Semantic is applied to create formal specifications for system state transitions. The 160-node CPPS test system from an actual engineering project is selected as the study case. A typical cross-space attack scenario is constructed using the event-driven model, the reachable regions and the evolution vector field are obtained as the formal analysis results of system state transitions. The proposed method guarantees the effectiveness and reliability of the modeling and analysis of CPPS under cyber-physical cross-space attacks.