The invention provides steel for a hydrogen sulfide stress corrosion resisting pressure container and a production method of the steel. The steel comprises the chemical components in percentage by weight of 0.05-0.12 percent of C, 0.15-0.35 percent of Si, 0.50-1.20 percent of Mn, less than or equal to 0.008 percent of P, less than or equal to 0.003 percent of S, 0.010-0.050 percent of Alt, 0.01-0.06 percent of V, 0.010-0.030 percent of Ti, 0.10-0.30 percent of Cu, 0.20-0.60 percent of Cr, 0.002-0.006 percent of Ca and less than or equal to 0.004 percent of N. The production method comprises the steps of: adopting molten iron desulphurization; smelting; refining; continuously casting into blanks; heating blanks; roughly rolling; precisely rolling; normalizing; tempering; and preparing for use. Low carbon and low alloy are adopted, and contents of P, S and N are strictly controlled, so that the steel has excellent hydrogen sulfide stress corrosion resisting capacity. A stable ferrite-pearlitic structure is obtained by using normalizing and tempering. The steel can be used for manufacturing pressure container devices used in various kinds of acid medium environments.