  We have constructed the merging history of dark matter halos in a SCDM
cosmology, by means of a the {``Merging Cell Model''} (Rodrigues & Thomas
1996). It is based on the linear theory of growth of density fluctuations, and
the Top-Hat model, and it takes into account mergers between halos through
simplified criteria.
  The halo mass function, the progenitors and children mass distribution, the
distribution of formation times, and the halo autocorrelation function (in the
Lagrangian space of initial conditions) have been computed. To test the
reliability of the model, results have been compared to the analytical
predictions of the extended Press & Schechter theory, that in turn well
describes results of N-body simulations.
  A general good agreement has been found, thus providing us with a reliable
tool for rapidly addressing the issue of galaxy formation and evolution in
hierarchical scenarios. The model is particularly suitable for studying galaxy
clusters at low redshift, and the population of Lyman-break galaxies at high z.
