A dilute copper alloy material used in an environment with presence of hydrogen includes pure copper including an inevitable impurity, more than 2 mass ppm of oxygen, and an additive element selected from the group consisting of Mg, Zr, Nb, Ca, V, Fe, Al, Si, Ni, Mn, Ti and Cr, the additive element being capable of forming an oxide in combination with the oxygen. A method of manufacturing a dilute copper alloy member excellent in characteristics of resistance to hydrogen embrittlement includes melting the dilute copper alloy material by SCR continuous casting and rolling at a copper melting temperature of not less than 1100° C. and not more than 1320° C. to make molten metal, forming a cast bar from the molten metal, and forming the dilute copper alloy member by hot-rolling the cast bar.