A Double Accommodating Intraocular Lens (DAIOL), which not only axially moves its flexible optic to accommodate, but also peripherally compresses or decompresses the optic to change its convexity or power, thus, double accommodating simultaneously upon contraction or expansion of the ciliary muscles and subsequently the lens capsule. The DAIOL includes a deployable semi-rigid or elastic haptic assembly and a flexible single optic. The DAIOL is further composed of three or four ring haptics and three or four deployable resilient lazy tongs, attached to a single elastically flexible plate encompassing a flexible optic. Accordingly, the radial compression of the capsular bag by the contraction of the ciliary muscles axially moves and radially compresses the flexible optic in the lens and vice versa upon radial expansion of the capsular bag, backward axial movement, and decompression of the optic, due to the resilient lazy tongs action, for double accommodation.