PSR J1119 - 6127 is a recently discovered 1700-year-old radio pulsar that has a very high inferred surface dipolar magnetic field .
We present a detailed analysis of a pointed ASCA observation and archival ROSAT data of PSR J1119 - 6127 and its surroundings .
Both data sets reveal extended emission coincident with the newly-discovered radio supernova remnant G292.2–0.5 , reported in a companion paper by Crawford et al .
A hard point source , offset \sim 1 \farcm 5 from the position of the radio pulsar , is seen with the ASCA GIS .
No pulsations are detected at the radio period with a pulsed fraction upper limit of 61 % ( 95 % confidence ) .
The limited statistics prevent a detailed spectral analysis , although a power-law model with photon index \Gamma \approx 1 - 2 describes the data well .
Both the spectral model and derived X-ray luminosity are consistent with those measured for other young radio pulsars , although the spatial offset renders an identification of the source as the X-ray counterpart of the pulsar uncertain .