The invention relates to a production method capable of controlling the buckling of a thin broad soft
zinc-coated
strip steel during the cooling process, and aims to solve the technical problem that a soft
zinc-coated
strip steel buckles during the cooling process after annealing in a horizontal furnace in the prior art. The production method comprises the following steps: preparing a thin broad soft
zinc-coated
strip steel, which is composed of the following chemical elements in percentage by weight: 0.0005 to 0.0025% of C, 0.05 to 0.20% of Mn, 0.030 to 0.080% of Ti, and the balance being Fe and inevitable
impurity elements; controlling the
compression ratio of the cold rolling product in a range of 60 to 85%, carrying out annealing on the rolled steel in a horizontal furnace after the cold rolling, controlling the
heating temperature of strip steel in a range of 680 to 700 DEG C, carrying out annealing in a range of 810 to 850 DEG C, carrying out annealing for 36 to 60 seconds, controlling the tensile force of the strip steel in a range of 3 to 6 KN; cooling the annealed strip steel in different stages: cooling the strip steel to a temperature of 690 to 750 DEG C at a
cooling speed of 9.8 to 18 DEG C / S, and then cooling the strip steel to a temperature of 480 to 560 DEG C at a
cooling speed of 10 to 27 DEG C / S; then carrying out
galvanization in a zinc boiler with a temperature of 460 DEG C, taking out the galvanized strip steel out of the zinc boiler, cooling the strip steel in the air to a
room temperature, and then rolling the strip steel so as to obtain zinc-coated steel rolls. The provided method is suitable for cooling process after annealing in the production of soft zinc-coated strip steel.