An accommodating (re-focusable) intraocular lens (IOL), a body of which includes two optical portions sequentially disposed, in optical contact with one another, along an optical axis and separated by interior surface the curvature of which is changing in response to pressure applied to posterior surface of IOL. The two optical portions may be formed with fluids having different refractive indices and housed in flexible cells that share an interior wall having such interior surface. The wall bends or flexes in response to force, caused by flexing of ciliary body muscle when IOL is installed in eye's capsule's membrane and passed onto the body of IOL via bendable haptics integrated with the optical portion(s) along a perimeter. The optical power of the IOL is gradually modifiable in part due to change of curvature of the interior surface.