The main function of the human respiratory system is to take fresh oxygen from air and remove waste carbon dioxide from blood. There are millions of alveoli in the lungs which are enveloped by network of capillaries. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli by diffusion across the respiratory membrane. The diffusion is due to the partial pressure gradient of each gas. In this study, a mathematical model of pulmonary gas exchange was developed and numerical simulation was performed for cardiorespiratory parameters responses to breathing at rest in healthy human adult. The two forms of oxygen transport: combined with hemoglobin in red blood cell and in physically dissolved form in the blood were considered in the model. Factors that affect pulmonary gas exchange are shown by the model.