This is one of those questions that really depends on the specific location. I can think of dozens of cemeteries in cities where I've lived where it would be totally fine to run, but then others in which I wouldn't think of running.
Probably the most important factor is whether it remains an active cemetery. If they are still burying people there, I would steer clear. If it is a "full" cemetery and most of the graves are from 50+ years ago, it is probably okay. I would also consider whether it was attached to practicing house of worship, versus a municipal cemetery in the middle of a town.
Obviously, you need to stay on a path and not run through the actual graveyard.