Flow network which consists of a number of flow paths and their junctions is popularly used in analysis of flow and pressure distribution for complicated pipe or channel flow structure. In order to analyze flow network, it is required to resolve mass conservation equation at each junction and energy conservation equation on all independent closed loops of the flow network. Topologic matrix which reflects characteristics of network connectivity simply transforms continuity equations into linear algebraic equations. However, typical solving procedure based on topologic matrix and linear analysis includes complicated algorithm to retrieve basic closed loop for energy conservation equations. It must confront the problem of nondeterministic polynomial completion. To resolve the problem of typical flow network analysis, the theory of constitutive topologic matrix equation is known to be effective. This paper describes a program algorithm of flow network analysis based on constitutive topological matrix theory and shows user interface of the program. Additionally, comparing analysis results of developed program with commercial software is provided to prove accuracy and reliability of developed program.