Soft X-rays from Virgo were observed with a scanning focusing collector from an Aerobee 170 rocket. The region included the center of the Virgo cluster of galaxies, a source at higher energies which had been previously identified with M87, and QSO 3C 273. The instrument was sensitive in the energy bands 0.15- 0.28 and 0.5-1.2 keV. No discrete sources in Virgo were observed. The upper limit on the energy flux from sources <0?5 is 6.6 X ergs 5-1 (0.15A).28 keV) and 5.3 X 10-16 ergs s ' (0.5-1.2 keV). The situation is more complex in the case of possible extended sources. At the location of M87 an angular extent of 1 would raise the upper limits by a factor of 2. Even if attenuation in our own Galaxy by 2.5 X 1016 H atoms of interstellar matter is taken into account, our results lie below extrapolations of power-law spectra with a constant spectral index which fit the higher-energy results on Extrapolations of thermal spectra fitted to higher-energy data are consistent with our results.