The formation mechanism for the body-centered cubic structure of He+ cluster is proposed and its totalenergy curve is calculated by the method of a Modified Arrangement Channel Quantum Mechanics. The energy is thefunction of separation R between the nuclei at the center and an apex of the body-centered cubic structure. The resultof the calculation shows that the curve has a minimal energy -25.6669 (a.u.) at R -- 2.550ao. The binding energy ofHe+ with respect to He^++8He was calculated to be 0.8857 a.u. This means that the cluster of He^+9 may be formed inthe body-centered cubic structure of R=2.55ao.