Currently, very long baseline interferometry technology is widely used in the astronomical measurement areas, providing about 1 μas pulsar positioning accuracy. However, these conventional methods cannot meet the higher position accuracy requirements of X-ray pulsar navigation. In this paper, we provide a novel method to measure the angular position based on X-ray intensity correlation. First, we show the relationship between the pulsar angular position and the X-ray intensity correlation. Second, we simulate the measurement error within the constraint on the photon energy fluctuations and compensation time. Finally, we propose a way to achieve such measurement. These theoretical analyses will improve the measurement accuracy of the pulsar angular position to a large extent.