In the smart grid era, power distribution system (PDS) has gradually become a cyber-physical system with distinctly different modes of operation and control. This paper proposes a reliability modeling and assessment method for a cyber-physical distribution system (CPDS). The proposed CPDS reliability analysis method considers a multi-dimensional network model for the distribution information system (DIS) which introduces the fault location, isolation, and supply restoration (FLISR) process as an interface between PDS and DIS. The proposed CPDS reliability analysis method establishes the multi-dimensional DIS network model by defining the composite multiple nodal attributes and the system transfer matrix, building the path search method based on the transfer matrix, and calculating the DIS network availability based on the Monte-Carlo simulation. The solution of the proposed CPDS reliability analysis method provides the expected load-point outage duration of CPDS and the PDS reliability indices. The CPDS reliability assessment results are presented and analyzed for the improved IEEE 33-bus system and the key influencing factors are identified and discussed.