Autonomous Driving Systems (ADSs) are promising, but must show they are secure and trustworthy before adoption. Simulation-based testing is a widely adopted approach, where the ADS is run in a simulated environment over specific scenarios. Coverage criteria specify what needs to be covered to consider the ADS sufficiently tested. However, existing criteria do not guarantee to exercise the different decisions that the ADS can make, which is essential to assess its correctness. ADSs usually compute their decisions using parameterised rule-based systems and cost functions, such as cost components or decision thresholds. In this paper, we argue that the parameters characterise the decision process, as their values affect the ADS’s final decisions. Therefore, we propose parameter coverage, a criterion requiring to cover the ADS’s parameters. A scenario covers a parameter if changing its value leads to different simulation results, meaning it is relevant for the driving decisions made in the scenario. Since ADS simulators are slightly uncertain, we employ statistical methods to assess multiple simulation runs for execution difference and coverage. Experiments using the Autonomoose ADS show that the criterion discriminates between different scenarios; and that the cost of computing coverage can be managed with suitable heuristics.