A method for high-precision position determination for vehicles, wherein the vehicles include devices for wireless communication with intelligent infrastructure devices, the precise position of the intelligent infrastructure device being known and the vehicles exchange status information with the intelligent infrastructure devices at predefined time intervals, and wherein the intelligent infrastructure devices have devices for determining the direction of the received signals carrying the status information, in which the status information sent from the vehicles to the intelligent infrastructure devices includes at least the vehicle identifier and information about the speed and the direction of the vehicle, and in which the position of the vehicles is determined via trigonometric methods from consecutive sets of status information, the associated known time intervals, the direction of the signals carrying the status information and the position of the intelligent infrastructure devices.