We report the first detection of the gravitationally lensed quasar Q2237+0305 in X-rays .
With a ROSAT/HRI exposure of 53 ksec taken in Nov./Dec .
1997 , we found a count rate of 0.006 counts per second for the combined four images .
This corresponds to an X-ray flux of 2.2 \times 10 ^ { -13 } erg/cm ^ { 2 } /sec and an X-ray luminosity of 4.2 \times 10 ^ { 45 } erg/sec ( in the ROSAT energy window 0.1-2.4 keV ) .
The ROSAT/HRI detector is not able to resolve spatially the four quasar images ( maximum separation 1.8 arcsec ) .
The analysis is based on about 330 source photons .
The signal is consistent with no variability , but with low significance .
This detection is promising in view of the upcoming X-ray missions with higher spatial/spectral resolution and/or collecting power ( Chandra X-ray Observatory , XMM and ASTRO-E ) .