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By using the partial wave method,we investigate the absorption of a massless scalar wave from a Schwarzschild black hole surrounded by quintessence.We obtained the expression of absorption cross section σabs(ω) =π/ω2∞∑l=0(2l + 1)[Tωl(ω)｜2=π/ω2 ∞∑l=0(2l + 1)Γωl(ω).Then we numerically carry out the absorption cross section and we find that the larger the angular momentum quantum number l is,the smaller the corresponding maximum value of the partial absorption cross section is,and that the total absorption cross section tends to the geometric-optical limitσhfabs ≈ πb2c.We also find that higher value of ωq (state parameter of quintessence) corresponds to the higher value of absorption cross section σabs.