Key Points The easiest and most dependable way to propagate thyme is by cuttings. If you know how to propagate thyme, it's easy to keep a consistent supply growing at home, without having to make a trip to the gardening supply store. Propagating thyme isn't inherently difficult, but it does include a few key steps—and it's important that you follow them. These tips and tricks will help you create a lush, thriving herb garden with an unlimited supply of thyme. First, choose a stem from a healthy thyme plant.