The invention discloses a flexible OLEM and AMOLEM ultrathin glass cover plate thinning process which is high in rate of finished products and stable in quality. The process includes steps: step one,pre-cleaning; step two, primary etching, to be specific, chemically etching each glass plate to realize once integral strengthening, and making the product thickness in a range of 200+/-10micron through chemical strengthening etching; after etching is finished, subjecting products to thickness section classification, and classifying at section intervals of 5micron to facilitate subsequent secondary etching operation; step three, glass plate deep thinning pretreatment, to be specific, attaching two to-be-etched products in a same section to upper and lower surfaces of a supporting plate; sealing two short sides and long sides with half sides of acid-proof tapes until three layers of plate materials of fitting sides are completely protected by the tapes; step four, secondary etching, to be specific, performing thickness measurement at a fixing position of three layers of laminated plates until target thickness is achieved, wherein the target thickness is equal to a value obtained by subtracting thinning thickness from the sum of the thickness of the two to-be-etched glass plates and thickness of the supporting plate; step five, product separation; step six, wiping; step seven, finalinspection of appearance.