To provide a one side submerged arc welding method which is used for low temperature steel having a small Al content and mainly deoxidized with Mg and by which low temperature toughness of the weld zone is made excellent and good bead appearance can be obtained.

In this one side submerged arc welding method for steel for low temperature use containing, by mass, 0.0003 to 0.0050% Mg and ≤0.01% Al, welding is performed by using flux having a component composition containing 15.0 to 30.0% MgO, 10.0 to 30.0% SiO2, 6.0 to 20.0% Al2O3, 3.0 to 13.0% CaO, 3.0 to 15.0% TiO2, 4.0 to 14.0% CaF2, ≤4.0 Al and 0.2 to 0.6% B2O3 and having a basicity L of 1.2 to 1.7 and wire containing 0.01 to 0.1% C, 0.6 to 1.4% Mn, 2.0 to 4.0% Ni, 0.0005 to 0.03% Al, ≤0.1% Si and ≤0.005% N, and the balance Fe with impurities.