X-ray intensity correlated interferometry provides a feasible technical way to realize high-resolution pulsar information acquisition. However, the energy resolution of existing X-ray detectors is limited, and the detected X-ray signals have spectrum broadening to some extent, which may result in measurement accuracy decrease. To solve this problem, a method is proposed to correct the spectrum broadening in intensity correlated interferometry based on the scaling relationship between the coherence curves at different energies. The measurement errors before and after modification are analyzed by simulation, and the influence of noise on the correction is discussed. A simulated interferometry experiment is carried out with the visible light. The results show that the measurement values after correction are consistent with the theoretical ones, thus the effectiveness of the method is validated.