Energy transfer in $Tb^{3+}$-doped borosilicate glasses has been studied by the analysis of fluorescence intensities and lifetimes of $^5D_3$ and $^5D_4$ states as a function of Tb3+ concentration. It is shown that as the $Tb^{3+}$ concentration is increased the cross-relaxation produces high population of the $^5D_4$ state at the expense of $^5D_3$. It is also found that this interaction is predominantly dipole-dipole transition with critical distance of 13 A. The critical distance for energy transfer $^5D_4$$^5D_4$ which is responsible for the quenching of 5D4 emission at high concentratron of Tb3+ ions is 4.5 A.