We used the CAPjoint method in inverting point source parameters of the 2013 Nantou earthquake，which includes both local and teleseismic waveforms． The result shows that the best double-couple solution of the event is 0°，30°，78° for strike，dip and rake，respectively． The other nodel plane is 193°，60°，96°，and the centroid depth is 18km． We applied Bootstrap method for statistics and verified that joint inversion is effective for constraining source parameters of moderate earthquakes． And we found that the centroid depth from inversion of teleseismic waveforms is depended on the azimuthal coverage of the teleseismic stations． The similarity between the focal mechanism and focal depth of the Nantou earthquake，and the characteristics of the Chelungpu fault imply that the Nantou event might rupture on the Chelungpu fault．