In this research, we estimate the survival function by using three nonparametric estimation methods and is to the method of Kaplan and Meier, the method Gaussian Kernel and method Weibull Kernel. Depending on the method of simulation and a complete real data from reality. Where we proposed a new method to estimate the survival function is to use Weibull Kernel and choose a new value to the optimal bandwidth, which have an important role in the estimation process.