Practical vehicle contains many uncertainties which may result from poorly known or variable parameters or from uncertain inputs. These uncertainties can be presented by fuzzy parameters, random parameters or interval parameters. A new uncertain analysis method is applied to the case in which the vehicle system contains both random parameters and interval parameters. This new uncertain method is a systematic integration of the Polynomial Chaos (PC) theory which accounts for random uncertainty and Chebyshev inclusion function theory which accounts for interval uncertainty. A multi-body vehicle model with both random parameters and interval parameters is used as a numerical model and vehicle handling is investigated in details. The Monte Carlo method combined with the scanning method is used to demonstrate the effectiveness of the proposed method for vehicle handling.