Tungsten isotope is a powerful tracer for the Earth’s accreting materials because of the distinct W isotope compositions of the non-carbonaceous meteorites and carbonaceous meteorites. To better understand the evolution of the early Earth, here we calculated the expected μ183W of the bulk silicate Earth for different assumed compositions of the proto-Earth’s mantle, the Moon-forming giant impactor, and the late veneer using a Monte Carlo approach. The result shows that the proto-Earth likely has a non-carbonaceous composition, while the carbonaceous chondrite-like materials were delivered to the Earth at the late stages of accretion. The predicted difference in μ183W values between the bulk silicate Earth and the non-carbonaceous meteorites of the scenarios assuming a pure carbonaceous composition for the giant impactor is slightly bigger than that of the scenarios assuming either a pure non-carbonaceous or a mixed carbonaceous-non-carbonaceous composition for the giant impactor (~5 ppm versus ~2 ppm). The ancient mantle reservoir that partially lacks the late veneer with carbonaceous composition should have a negative μ183W value (from ?3 to 0). Uncertainties introduced by the cosmogenic effects and mass-independent fractionation should be concerned during the high precision measurement of μ183W for meteorites and ancient terrestrial samples in further work.