The frameworks David and I mentioned should be usable as add-ons for JUnit. So you could use your existing test infrastructure.
With only the JUnit framework it depends... What exactly do you want to test? The "singleton behavior"? Or just ordinary methods? Methods with or without side-effects? Just because a class is designed as a singleton doesn't necessarily mean that you can't test it as usual. Where do you get stuck when you try to test this class?
Marco
PS: OK, David was obviously faster

But as you see from both of our posts there's really no magic involved in testing singletons in general. The difficulty is how to obtain an instance of your singleton class as David already pointed out.