The invention discloses a finish rolling stability control method, and belongs to the technical field of rolling processes. The finish rolling stability control method comprises the following steps: the load distribution of a finish rolling machine is controlled; the tension distribution of the finish rolling machine is controlled; the plate strip convexity ratio is controlled; the control of theplate strip convexity ratio comprises the following steps: a formula of Ci/Hi=Ci+1/Hi=1 is adopted according to a frame plate type straightness control theory, wherein Ci is the outlet convexity of anupstream frame, Hi is the outlet thickness of the upstream frame, and i is the ith frame number; the frame convexity distribution adopts the set convexity 1; and when the frame outlet thickness is larger than 7 mm, a formula of Ci/Hi=(Ci+1/Hi+1)*delta is adopted, wherein delta is the transverse nonuniform extension coefficient. The finish rolling stability control method guarantees the stabilityin the finish rolling process, and solves the vibration problem of the rolling machine, the surface quality problem, the center wire control problem and the plate type problem.