We present results of the study of the influence of the break-up process on the fusion, scattering and reaction cross sections, at near barrier energies. Most of the discussed reactions and scattering mechanisms are induced by the stable weakly bound nuclei 6,7 Li and 9 Be, although comparisons with reactions induced by strongly bound nuclei are also made. We give a picture of the break-up and fusion mechanisms at energies above the Coulomb barrier.The effects of the coupling of elastic, inelastic and transfer channels on the fusion cross section, at energies close to and bellow the Coulomb barrier, have been extensively investigated in the last two decades. At present they are reasonably understood, and their most remarkable effect is the enhancement of the fusion cross section at the subbarrier energy regime, relative to the predictions of onedimensional barrier penetration models. However, in the last years the effect of the break-up process on the fusion cross section started to be investigated, and in the present situation it is still very far from being fully understood. At present there are few and controversial experimental data. From the theoretical side, there are models that predict the fusion cross section enhancement, when compared with the fusion induced by strongly bound nuclei, due to the additional break-up channel. This enhancement should be particularly important at sub-barrier energies, where the coupling effects on the fusion may be strong. On the other hand, some models suggest the hindrance of the complete fusion, due to the loss of incident flux in this channel, caused by the break-up. There are also predictions of fusion cross section enhancement at sub-barrier energies and fusion hindrance above barrier energies, both effects originated from the break-up process.There is a special interest on this subject due to the recently available radioactive beams of very weakly bound nuclei. Reactions with these nuclei are important in processes of astrophysical interest, as well as in the search of mechanisms that produce super heavy elements. The full understanding of reactions induced by the highly intense beams of stable weakly bound nuclei is a key for the study of the reactions induced by the low intensity radioactive beams. The UFF 's group of Heavy Ion Reactions and their collaborators have been investigating this subject during the last years [1][2][3][4][5][6][7][8][9][10][11][12].The most suitable stable nuclei for this type of investigation are 9 Be, 6 Li and 7 Li, due to their small separation energies that should favor the break-up process. It is important to study the role of the break-up of these projectiles on different target masses, in order to investigate the effect, on the fusion, of nuclear and Coulomb break-ups. Also, it is important to span the energy region from sub-barrier to twice or three times the barrier, because there are evidences that the role of the break-up on the fusion depends on the energy regime.A major difficulty with many of the fusion experiments is the fa...