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Nanofibers have many promising applications because of their advantages of high power density and ultralow saturated light intensity.We present here a Zeeman shift of the Doppler-broadened cesium D2 transition using a tapered optical nanofiber in the presence of a magnetic field.When a weak magnetic field is parallel to the propagating light in the nanofiber,the Zeeman shift rates for different circularly polarized spectra are observed.For the σ+ component,the typical linear Zeeman shift rates of F =3 and F =4 ground-state cesium atoms are measured to be 3.10(±0.19)MHz/C and 3.91(±0.16)MHz/G.For the σ-component,the values are measured to be-2.81(±0.25)MHz/G,and-0.78(±0.28)MHz/G.The Zeeman shift using the tapered nanofiber can help to develop magnetometers to measure the magnetic field at the narrow local region and the dispersive signal to lock laser frequency.