Lithium ion battery is widely accepted as the better choice among secondary batteries available since it has high power and energy density. Its applications are usually in portable electronics, hybrid electric vehicle, electric vehicle, and energy storage in renewable energy plant such as solar cell, wind turbine, etc. Regardless of its applications, modeling lithium ion battery is very necessary so the model can be used to find out the batteries’ behaviors through simulation before the systems are built. Moreover, the model are also used to extract run-time parameters that are very important in keeping the system safe and efficient such as state of charge (SOC), state of health (SOH), etc. In this research, a lithium battery model was developed using Modelica standard modeling language which was implemented using Scicos graphical language programming that supports Modelica. Scicos used in this research was actually Xcos that is a variant of Scicos which is embedded in Scilab. Equivalent circuit model used in modeling the battery was Double Polarization (DP) model. DP model consists of open circuit voltage Voc, internal resistance Ri, and two parallel RC circuits. The parameters of the battery were extracted using Hybrid Power Pulse Characterization (HPPC) testing. In this experiment, the Double Polarization (DP) electrical circuit model was used to describe the lithium battery dynamic behavior. The results of simulation of the model were validated with the experimental results.