We study chromatic group-velocity dispersion (GVD) tolerance of a fiber-optic two-photon interferometer using telecom-band photon pairs with frequency entanglement. In the demonstration, photon pairs have a spectral width of 115.8 nm centered at 1550 nm. Using a Michelson interferometer, we have confirmed that two-photon interference by frequency-entangled photon pairs shows dispersion tolerance even though two arms of the interferometer have different amounts of GVD. The observed two-photon interference signal has a correlation time of 42.7 fs. This is in good agreement with the one calculated from a 115.8 nm spectral width. For comparison, we also present results using photon pairs without frequency entanglement.