Employing the single beam Z-scan technique with nanosecond laser pulses at 532nm, the refractive and absorptive nonlinearities of methoxy-substituted (2E)-1-(3,4-dimethoxyphenyl)-3-phenylprop-2-en-1-one have been studied. The methoxy substitution makes 3,4-dimethoxy chalcone derivatives a donor-acceptor-donor (D-A-D) type intramolecular charge transfer molecule. The sign of the nonlinear index of refraction (n(2)) is found to be negative and the magnitude n(2) is of the order of 10(-11) esu. The variation of NLA coefficient (beta(eff)) with input intensity (I-0) is studied and the nonlinear absorption mechanism is found to be sequential two-photon absorption(TPA) leading to thermal effects in the solutions. The enhancement of nonlinearity due to the methoxy substitution is in accordance with the dipole-like formation in the said molecules. The compounds exhibit good optical limiting as well.