A method and an apparatus for estimating behaviors of a vehicle are provided. At least two GPS antennas are located along a longitudinal axis of a vehicle so that speed vectors at the positions where the GPS antennas are located can be determined based on GPS signals received by the GPS antennas. The speed vectors are known to be estimated with high accuracy based on the GPS signals. The positions of the GPS antennas on the local coordinate system are estimated based on such highly accurate speed vectors, so that the estimated positions may also have high accuracy. Based on a line connecting these highly accurate positions of the GPS antennas, an inclination of the longitudinal axis of the vehicle is estimated. Use of the high-accuracy speed vectors enables high-accuracy estimation on the positions of the GPS antennas and the vehicle direction on the local coordinate system.