  We have obtained a sample of 143 normal galaxies with X-ray luminosity in the
range $10^{38} - 10^{43}$ erg s$^{-1}$ from the cross-correlation of the ROSAT
HRI Brera Multi-scale Wavelet (BMW -- HRI) Catalogue with the Lyon-Meudon
Extragalactic Database (LEDA). We find that the average X-ray properties of
this sample are in good agreement with those of other samples of galaxies in
the literature. We have selected a complete flux limited serendipitous sample
of 32 galaxies from which we have derived the logN-logS distribution of normal
galaxies in the flux range $1.1 - 110 \times 10^{-14}$ erg cm$^{-2}$ s$^{-1}$.
The resulting distribution is consistent with the euclidean -1.5 slope.
Comparisons with other samples, such as the Extended Medium Sensitivity Survey,
the ROSAT All Sky Survey, the XMM - Newton/2dF survey and the Chandra Deep
Field Survey indicate that the logN-logS distribution of normal galaxies is
consistent with an euclidean slope over a flux range of about 6 decades.
