Two pulsed X-ray profiles of the Crab pulsar taken at a 4.5 yr interval have been compared to study possible long-term variabilities in its pulse intensity and pulse profile. The intensity ratio of the second peak to the first peak remained constant within 2.7% in our study in the X-ray band, while the ratio has been reported to have varied by a factor around 3 over the same interval in the gamma-ray band. Our results give constraints on possible origins of the reported variation in the gamma-ray band for the Crab pulsar. The results also set a limit on possible change in its pulsed X-ray emission after the 1989 glitch.