The invention relates to a vehicle tire comprising a tread portion and a package of reinforcement layers arranged underneath the tread portion. The tread portion comprises a tread base layer arranged underneath the tread layer, and at least one rubber member that extends in the radial direction of the tire from the ground contacting surface to the reinforcement package. The tread layer rubber composition has an electrical resistivity at room temperature of more than 108 ohm-cm, the tread base layer rubber composition of between 106 ohm-cm and 108 ohm-cm, the member rubber composition of less than 106 ohm-cm; and the rubber composition of at least one layer of the reinforcement package has a electrical resistivity at room temperature of less than 106 ohm-cm. The vehicle tire combines a low rolling resistance with improved conductivity to avoid build-up of static electricity.