A new type of magnetism is found in the two-channel Kondo lattice where each non-Kramers doublet is coupled with two conduction bands by the orbital exchange J. The quadrupolar Kondo effect leads to an SDW state in the case of quarter filled bands, i.e., one conduction electron per site. This order is understood from the strong coupling limit with respect to J. Using the continuous-time Monte Carlo method combined with the DMFT at finite temperature T, the phase diagram is constructed in the J-T plane for the quarter filled case.