A method for determining the position of a non-motorized road user including ascertaining a first geodetic position of the road user in a position determination device, which uses a global navigation satellite system, of the terminal, and transmitting the first geodetic position to a traffic device. In a control unit of the traffic device, ascertaining a second geodetic position of the road user from a geodetic traffic device position and a relative position ascertained from sensor data, showing the road user, of at least one surroundings sensor of the traffic device. At least if a limiting value for a deviation of the first position from the second position is exceeded, transmitting an item of deviation information describing the second position and/or the deviation from the traffic device to the mobile terminal, and using the deviation information to correct the position ascertainment in the position determination device.