Video streaming and mobile TV services have recently gained great research interest with the advances in mobile hardware technologies and the development of single frequency networks (SFN). However, the analysis of the coverage probability of these services in SFN has been and remains a complicated task due to the specific behavior of the received SFN signal and its effect on the useful signal. In this framework, we propose a new approach to model and evaluate the coverage probability for such network configuration. More particularly, using stochastic geometry, we propose a suitable approximation of the problem based on the closest SFN base stations. The resulted expressions represent a lower bound for the probability of coverage of the SFN. The proposed approximation leads to a good trade-off between accuracy and tractability. Numerical simulation results prove the validity of the proposed approach and related theoretical results, especially in a high path loss environment.