We present in this paper analyses of the PSPC and SIS and GIS observations of the Crab-like supernova remnant (SNR) G54.1+0.3. Its spectrum obtained by PSPC favors a power law model with a photon index of -0.8, absorbed energy flux in 0.1-2.4 keV of 1.0$\times 10^{-12}^{-2}^{-1}$, and absorption column density of 12.3 cm. SIS observation shows that its spectrum can also be best fitted with power law model. The fitted parameters are, photon index -1.9, absorbed energy flux in 0.7-2.1 keV 6.5 erg cm s, and column density 17.9 cm. The high absorption column density indicates a distance similar to the radius of the galaxy. The 0.1-2.4 keV X-ray luminosity of G54.1+0.3 is 3.2 erg s, where is the distance in 10 kpc. With an image restoration method we have obtained high spatial resolution X-ray image of the remnant, which clearly shows an X-ray jet pointing to the northeast with a length about 40 from the center of the nebula. Its X-ray luminosity in 0.1-2.4 keV is about 5.1 erg s. The X-ray jet is consistent with the radio extension to the northeast in both direction and position. We propose that the X-ray jet is connected with the pulsar assumed to exist in the remnant.

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