These terms can be very confusing to someone involved in an accident.  Generally speaking, there are instances  - such as in a car accident case - that you need to be injured to a certain degree in order to be able to bring a lawsuit for your injuries.  In New Jersey it is called a verbal threshold.  It means that unless your injuries meet certain criteria you are precluded from suing.  No-threshold would simply mean that there is no limitation on your right to sue, regardless of what kind of injury you sustained; you have a right to file a claim for your personal injuries.  Why don;t you get some legal advice.  It should be free in this case.  Good luck.