Summary: In this paper, we develop a stochastic LWR model based on the influences of the driver’s individual property on his/her perceived density and speed deviation. The numerical results show that the driver’s individual property has great effects on traffic flow only when the initial density is moderate, i.e., at this time, oscillating traffic flow will occur and the oscillating phenomena in the traffic system consisting of the conservative and aggressive drivers is more serious than that in the traffic system consisting of the conservative (aggressive) drivers.