Thermoelectric analogy method and the concept of thermal resistance are widely used in analyzing heat transfer problems to simplify the analysis process of complex heat transfer network. Traditional thermal resistance is only applicable to the case of one-dimensional, steady-state, and no internal heat source. However, most heat transfer processes are multi-dimensional, unsteady-state and with internal heat source in the fields of energy, power, petrochemical industry, metallurgy, refrigeration, aerospace and so on. For these problems, numerical simulation methods are commonly adopted and occupied a large amount of computing resources, in addition, the traditional thermal resistance analysis method still exists some gaps. This report presents a generalized establishment method and target-controlling principle of thermal resistance network for multi-dimensional, unsteady-state heat transfer process with internal heat source. The practicability and advancement of the generalized establishment method of thermal resistance network is illustrated by two examples. One is the thermal resistance control method of local thermal resistance ratio and local total thermal resistance for two-side heat transfer processes, applying to the thermal design of complex heat exchangers (fluid-fluid and particles-fluid). The other is the thermal resistance control method of transient thermal resistance in energy storage, especially the solid-liquid phase change processes. The proposed generalized establishment method and targetcontrolling principle of thermal resistance network are of great significance to simplify the analysis process and provide guidance for the regulation and optimization of thermal processes.