Pd(mpo)2 complex is a kind of new functional coordination compound. In order to study the optical nonlinearities of this material, the nonlinear optical absorption and refraction coefficients of Pd(mpo)2 complex were measured by using the Z-scan technique. In the Z-scan measurement, the 7 ns laser pulses at 532 nm wavelength were delivered. The sample is the dimethylformanide (DMF) solution of Pd(mpo)2 with the concentration of 0.75×10-4 mol/L. The results show that the nonlinear absorption coefficient β0=(1.916±0.016) cm/GW and nonlinear refraction coefficient γ0=-(3.153±0.048)×10-5 cm2/GW when incident irradiance is very low, and the nonlinear absorption and refraction coefficients linearly decrease with the irradiance increasing. The nonlinear absorption originates from the near resonant two-photon absorption while the nonlinear refraction is enhanced by near resonant two-photon absorption. The linear dependences of the optical nonlinearities on the incident irradiance arise from the population redistribution due to the near resonant two-photon absorption.