In view of the influence of temperature and optical wavelength on the propagation delay time in fiber,the single wavelength single fiber time two-way transfer via 2km optical fiber link has been discussed in this paper.The measurement result,which shows the improvement in the stability and accuracy of time transfer in fiber, is obtained from the 2km time transfer experiment.At the same time,the single wavelength single transfer method greatly eliminates the influence of temperature and wavelength on the refractive index and the material dispersion. The accuracy of time synchronization of the transfer experiment is 27.5ps (the standard deviation) with the peak to peak value of 209ps,and such a system is a good prospect for high precision tim e transfer in fiber.The propagation delay time of optical fiber varying with the surrounding temperature and optical wavelength is the main factor that affects the precision of time two-way transfer in fiber.The influence of temper ature and optical wavelength on material dispersion,refractive index and fiber propagatio n delay time is quantitatively analyzed by the MTALAB software and the time synchronization accuracy of single wavelength sin gle fiber time two-way transfer is computed in the paper.