The direct numerical simulation for MHD homogeneous shear turbulence under the streamwise system-rotation isperformed. There are small differences for the kinetic and magnetic energy, Reynolds and Maxwell stresses in theseveral streamwise rotation cases by comparison with the results of the spanwise rotation MHD field. Immediately afterthe calculation start, however, the contribution of the energy transformation becomes large as the rotation increases.From the kinetic energy spectral budget it is found that the sum of the transfer and transformation spectral functions isbalanced with the dissipative one in the small scale.