While you can run with an umbrella stroller, it’s not recommended. Umbrella strollers are designed for general use, not for off-roading or higher speeds.
They often lack the right suspension for absorbing the bounce and rough terrain that often comes with running. This can make for an uncomfortable and possibly unsafe ride for your little one. The models that have only a three-point harness would be particularly unsafe to use for running.
Umbrella strollers also lack a fixed front wheel, which is necessary for a quickened pace. Jogging strollers, on the other hand, typically have three larger wheels in a triangular configuration — two in the back and one in the front. These strollers are a go-to for many parents who like to run, and we'd recommend investigating that style of stroller if running with it is a priority.