In this study, we have introduced the Chen distribution as an underlying hazard rate function for a parametric proportional hazards model called the Chen proportional hazards model. The maximum likelihood estimation approach was considered for determining the model parameter values. The developed model’s use was demonstrated with lifetime data. Results of the model selection criteria and the graphs of Cox-Snell residuals from the study disclosed that the newly introduced model demonstrates superiority over the Weibull and Gompertz proportional hazards models and might be useful when examining different kinds of survival statistics.