The stubborn-set method attempts to reduce the number of states that must be explicitly enumerated during reachability analysis of a concurrent system, while preserving crucial concurrency properties in the reduced state space. Here we extend the method to the analysis of certain timed models. We also prove that timing properties of interest, such as minimum and maximum delays between events, are preserved in the reduced model. Finally, we report on some experimental results that we have obtained with our extension. These results show that real-time stubborn sets can often provide significant reductions in state space size.