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The dependence of the photo-elastic (or opto-elastic) constant upon the relative refractive index difference, the normalized frequency, and the wavelength for single-mode optical fibers has been investigated. From experimental results, it is found that the opto-elastic constant strongly depends upon wavelength, but not upon the relative refractive index difference or normalized frequency. The measured values of the opto-elastic constant at 1.30 and 1.50 μm are (3.17 \pm 0.03) \times 10^{-5} (mm 2 /kg) and (3.08 \pm 0.02) \times 10^{-5} (mm 2 /kg), respectively.