No dispute liability is a phrase that is usually heard in the legal proceedings of an insurance lawsuit. Who is liable means who is at-fault or who is to blame for what happened, in a car accident, for instance. Often, finding out who is most liable can be murky. In fact, insurance claim adjusters tend to assign percentages of liability to each of the drivers if it is unclear where the fault lies. There can also be legal disputes about who is liable.
If there is a clear cause for the accident such as a drunk driver speeding and hitting a pedestrian, then there is no dispute on liability. This means everyone agrees on who caused the accident.
