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In this paper, the authors establish the (Lp(μ), Lq(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions (b ∈ Lipβ(μ)), where 1 < p < 1/(α+β) and 1/q = 1/p?(α+β), and obtain their weak (L1(μ), L1/(1?α?β)(μ))-type. Moreover, the authors also consider the boundedness in the case that 1/(α+β) < p < 1/α, 1/α ≤ p ≤ ∞ and the endpoint cases, namely, p = 1/(α + β).