Most of the rural people in developing countries depend on the biomass energy for cooking and heating purposes. Women in developing country spent their time in the kitchen for cooking the food and suffer from the contaminants emitted from the biomass cook stoves. The study is focused on the numerical modeling of indoor air pollutant originated from a biomass source in a rural kitchen solving the Navier-Stokes equation and mass-energy-species conservation equations to assess its ventilation effectiveness. Turbulence is modeled by the standard k-e model. The velocity profile and temperature distribution in the kitchen are modeled in the present study. Velocity profile and temperature distribution throughout different sections of the kitchen are depicted to explain the primary and secondary pollutant paths. The study suggests proper positioning of the ventilation which will be analyzed to minimize the effect of the pollutant to the person working in the kitchen. Keywords: Numerical modeling, Navier-Stokes equation, Pollutants, Ventilation.