We present the measurement of the third-order nonlinearity of Bi_2O_3-B_2O_3-BaO glasses using the single Z-scan method with femtosecond laser pulses at 750-850 nm.Both third-order nonlinear refractionγand two photon absorption coefficient β are investigated.Theγshows an increasing tendency with increasing BaO content,and the largest value is estimated to be 7.2*10~(-14) cm~2/W,which is as large as those of chalcogenide glasses.The dependence ofβon the normalized photon energy is studied.