A dynamic model for a pouch type Li-polymer battery based on electrochemical and thermal principles is developed to analyze static and dynamic performances of a single cell. The model for the single cell is a quasi-three-dimensional, constructed by connecting one-dimensional models for micro cells using current collectors. The developed model can represent distributions of temperature, potentials, and current flows along with distribution of lithium ions through the plane. The model is coded using MATLAB and validated against a LiMn2O4/Carbon pouch type power cell. The static analysis includes responses of the terminal voltage at different current rates derived from the distribution of overpotentials in the micro cell as function of state of charge (SOC) as well as distribution of potentials and current flows in the single cell. Ion concentration in the electrodes and electrolyte of the micro cell are analyzed. The dynamic analysis includes voltage and temperature responses during charging and discharging processes. The results demonstrate effects of operation conditions on key variables of the cell performance that includes distribution of ions in the electrodes and electrolyte in micro cells as well as distribution of heat generation in single cell level during a charging and discharging process.