Lung cancer or bronchogenic carcinomas is the leading cause of cancer deaths worldwide. Since smoking is the main cause of lung cancer, so we are focusing on the relation between smoking and lung cancer through mathematical modeling. In this paper, a mathematical model of lung cancer has been developed in terms of non-linear ordinary differential equation. The dynamics of lung cancer has been described by SEIRS model of five compartments as susceptible population, exposed population (subdivided into two compartments as smokers and victim of smoking), infected with lung cancer and recovered from lung cancer. We have analyzed the boundedness and positivity of the solution of the model. We have also calculated the basic reproduction number and have analyzed the stability of the smoke free and endemic equilibrium point of the model end up with numerical simulations. The specialty of our model is, it not only describes the lung cancer probability for smokers but also for the population who are victim of smoking. The analytical as well as numerical simulation of our SEIRS model have described the complete dynamics of the fatal diseases which will help us to minimize the fatality.