Rolled H-shapes having high strength and high toughness, and which can be produced using cheaper alloy components than conventional products and which can be manufactured with a high productivity, are disclosed. A method for manufacturing the H-shapes is also disclosed. The rolled H-shapes include 0.03 to 0.1 wt. % of Nb and 0.005 to 0.04 wt. % of Ti. The method includes a rough universal rolling process in which an accumulated reduction at a rolling temperature of 950° C. or lower is 5% or larger, and reverse operation is conducted fast; and a finishing universal rolling, in which the rolling temperature is 750° C. or higher. Preferably, in the rough universal rolling, the accumulated reduction at a rolling temperature of 950° C. or lower is 50% or more.