Based on mean-field theory and single spatial mode approximation，we study the nonlinear dynamical properties of the susceptibility of total spin F=1 Bose-Einstein condensate with dipole-dipole interaction in a double-well potential. For certain initial states，we find that the susceptibility oscillation appears when λA+2λd=0. When λA+2λd≠0, the dynamical behavior of the system shows both oscillation and self-trapping of susceptibility.