We compute the hereditary part of the third post-Newtonian accurate
gravitational energy radiation from hyperbolic scatterings (and parabolic
scatterings) of non-spinning compact objects. We employ large angular momentum
($j$) expansion, and compute it to the relative $1/j^{11}$ order (so the first
12 terms). For parabolic scattering case, the exact solution is computed. At
the end, the completely collected expression of the energy radiation upto the
third post-Newtonian and from $1/j^{3}$ to $1/j^{15}$ order, is presented
including the instantaneous contribution.