A high-strength, high-damping-capacity cast iron having both a high strength and high vibration damping capacity is provided.The high-strength, high-damping-capacity cast iron is obtained by a method including performing a graphite spheroidizing treatment on a molten metal, and consists of 2% to 4% of C, 1% to 5% of Si, 0.2% to 0.9% of Mn, 0.1% or less of P, 0.1% or less of S, 3% to 7% of Al, 0% to 1% of Sb, 0% to 0.5% of Sn, 0.02% to 0.10% of Mg, 01% to 0.5% of RE (Ce, La), Fe as balance, and unavoidable impurity.