This article mainly considers the blow up phenomenon of the solution to the wave-hartree equation utt-Au =(|x|-4 * |u|2)u in the energy space for high dimensions d ≥ 5.The main result of this article is that: if the initial data (u0,u1) satisfy the conditions E(u0,u1) ＜ E(W,0) and ||▽u0 ||22 ＞ ||▽W||22 for some ground state W,then the corresponding solution must blows up in finite time.