The neutron multiplicities P(n) in the spontaneous fission of 246Cm, 248Cm, and 252Cf have been measured in a 3He neutron counter assembly. The efficiency ∈ for detection of a single neutron was measured to be 0.360, based on (average number of neutrons per fission) = 3.73 for 252Cf spontaneous fission. Using this value of ∈ and assuming a Gaussian distribution p(v) for the emitted neutrons, we fitted our observed P(n), corrected for small background and pile-up effects, to the model by the method of least squares in which the Gaussian width σv and were the parameters of fit. Values of p(v) were then calculated from the resulting Gaussian function. In the case of 252Cf, our values of p(v) agree well with literature values; the p(v) values for the curium isotopes have not been measured previously as far as we know. The values of for both 246 Cm and 248Cm fall on a straight line through existing experimental values for the nuclides 242Cm, 244Cm, and 250Cm in a plot of versus mass number; our values were 2.86 ± 0.06 and 3.14 ± 0.06 for 246Cm and 248Cm, respectively.