There is provided an apparatus for measuring the characteristics of an optical fiber in which a frequency difference between first and second coherent light respectively generated by first and second light sources can be accurately set and wherein preferable coherent detection can be carried out in accordance with frequency components of returned light. First coherent light at a frequency f1 is converted into a pulse light which is output to the optical fiber to be measured. The characteristics of the optical fiber are measured by multiplexing returned light from the optical fiber to be measured and second coherent light at a frequency f2 and by detecting the multiplexed light. A component .vertline.f1-f2.vertline. is detected from an optical signal obtained by the multiplexed light and is mixed with a signal at a frequency fr to decrease the frequency. An electric signal at a voltage level corresponding to a differential frequency .vertline.f1-f2.vertline.-fr included in the mixed signal is generated, and a predetermined voltage level is generated which corresponds to a set value for an optical frequency difference between the first and second coherent light. The second light source is driven based on the difference between the two voltage levels to correct the frequency of the second coherent light.