An overview of time-to-event parametric methods is presented in this chapter. The parameters hazard function, death density function, survival function, and cumulative death distribution function are first defined, and relationships between them are noted. Then five commonly used parametric models exponential, Weibull, Rayleigh, Gompertz, and lognormal are presented. These are followed by a discussion of how to incorporate concomitant, covariate, or regressor information into these models. Numerous applications from the literature, reflecting a broad range of time-to-event endpoints that are analyzed (estimation and hypothesis testing) by a variety of statistical methods, are then presented. Penultimately, examples illustrating applications of the parametric models is presented. The chapter ends with a discussion of the models, methods, and applications.