A free-cutting copper alloy worked material comprising: 76.0 mass% to 79.0 mass% of Cu; 3.1 mass% to 3.6 mass% of Si; 0.36 mass% to 0.84 mass% of Sn; 0.06 mass% to 0.14 mass% of P; 0.022 mass% to 0.10 mass% of Pb; less than 0.06 mass% of Ni; optionally one or more element (s) selected from the group consisting of 0.02 mass% to 0.08 mass% of Sb, 0.02 mass% to 0.08 mass% of As, and 0.02 mass% to 0.20 mass% of Bi; and the balance being Zn and inevitable impurities, wherein the total amount of Fe, Mn, Co, and Cr as the inevitable impurities is lower than 0.08 mass%, when the Cu content is represented by [Cu] mass%, the Si content is represented by [Si] mass%, the Sn content is represented by [Sn] mass%, the P content is represented by mass%, and the Pb content is represented by [Pb] mass%, the relations of 74.4 ≤ f 1 = Cu + 0.8 × Si − 8.5 × Sn + P + 0.5 × Pb ≤ 78.2, 61.2 ≤ f 2 = Cu − 4.4 × Si − 0.7 × Sn − P + 0.5 × Pb ≤ 62.8, and 0.09 ≤ f 3 = P / Sn ≤ 0.35 are satisfied, in constituent phases of metallographic structure, when the area ratio of α phase is represented by (α) %, the area ratio of β phase is represented by (β) %, the area ratio of γ phase is represented by (γ)%, the area ratio of κ phase is represented by (κ)%, and the area ratio of μ phase is represented by (μ)%, relative to the total area ratio of α phase, β phase, γ phase, δ phase, ε phase, ζ phase, η phase, κ phase, μ phase and χ phase, the relations of 30 ≤ κ ≤ 65, 0 ≤ γ ≤ 2.0, 0 ≤ β ≤ 0.3, 0 ≤ μ ≤ 2.0, 96.5 ≤ f 4 = α + κ, 99.4 ≤ f 5 = α + κ + γ + μ, 0 ≤ f 6 = γ + μ ≤ 3.0, and 36 ≤ f 7 = 1.05 × κ + 6 × γ 1 / 2 + 0.5 × μ ≤ 72 are satisfied, κ phase is present in α phase, the amount of Sn in κ phase is 0.40 mass% to 0.85 mass%, the amount of P in κ phase is 0.07 mass% to 0.22 mass%, the length of the long side of γ phase is 50 μm or less, and the length of the long side of μ phase is 25 μm or less, and wherein the microstructural features are determined according to the respective methods disclosed in the description. 76.0 mass% to 79.0 mass% of Cu; 3.1 mass% to 3.6 mass% of Si; 0.36 mass% to 0.84 mass% of Sn; 0.06 mass% to 0.14 mass% of P; 0.022 mass% to 0.10 mass% of Pb; less than 0.06 mass% of Ni; optionally one or more element (s) selected from the group consisting of 0.02 mass% to 0.08 mass% of Sb, 0.02 mass% to 0.08 mass% of As, and 0.02 mass% to 0.20 mass% of Bi; and the balance being Zn and inevitable impurities, wherein the total amount of Fe, Mn, Co, and Cr as the inevitable impurities is lower than 0.08 mass%, when the Cu content is represented by [Cu] mass%, the Si content is represented by [Si] mass%, the Sn content is represented by [Sn] mass%, the P content is represented by mass%, and the Pb content is represented by [Pb] mass%, the relations of 74.4 ≤ f 1 = Cu + 0.8 × Si − 8.5 × Sn + P + 0.5 × Pb ≤ 78.2, 61.2 ≤ f 2 = Cu − 4.4 × Si − 0.7 × Sn − P + 0.5 × Pb ≤ 62.8, and 0.09 ≤ f 3 = P / Sn ≤ 0.35 are satisfied, in constituent phases of metallographic structure, when the area ratio of α phase is represented by (α) %, the area ratio of β phase is represented by (β) %, the area ratio of γ phase is represented by (γ)%, the area ratio of κ phase is represented by (κ)%, and the area ratio of μ phase is represented by (μ)%, relative to the total area ratio of α phase, β phase, γ phase, δ phase, ε phase, ζ phase, η phase, κ phase, μ phase and χ phase, the relations of 30 ≤ κ ≤ 65, 0 ≤ γ ≤ 2.0, 0 ≤ β ≤ 0.3, 0 ≤ μ ≤ 2.0, 96.5 ≤ f 4 = α + κ, 99.4 ≤ f 5 = α + κ + γ + μ, 0 ≤ f 6 = γ + μ ≤ 3.0, and 36 ≤ f 7 = 1.05 × κ + 6 × γ 1 / 2 + 0.5 × μ ≤ 72 are satisfied, κ phase is present in α phase, the amount of Sn in κ phase is 0.40 mass% to 0.85 mass%, the amount of P in κ phase is 0.07 mass% to 0.22 mass%, the length of the long side of γ phase is 50 μm or less, and the length of the long side of μ phase is 25 μm or less, and wherein the microstructural features are determined according to the respective methods disclosed in the description.