Precise determination of the astronomical azimuth using the local hour angle (LHA) of Polaris is only applicable in northern middle latitudes, and the meridian star pair method is limited by the conditions of star selection and matching. This paper proposes a new hour angle method of multiple meridian stars, which is suitable for any part of the global region. After multiple southern and northern stars have been observed, the influence of longitude error and timing error is modified by linear regression. When using this method, the precise astronomical position is not required, and there is no limit to specific position of the meridian stars. So both the number of observable stars and the operation efficiency are greatly increased. The experiment indicates that compared with the first-order hour azimuth method of Polaris, the result of the multiple meridian star angle method can still reach the first-order accuracy level even when the observed data quantity is reduced by half.