the lens is held vertically in the eye's interior by suspensory ligaments or more specifically called the ciliary zonule, attached to the ciliary body.
so suspensory ligaments is the answer(-:
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This is two different questions: The Ciliary Body extends from the Choroid Coat and contains the Ciliary Muscles and the Ciliary Processes. However, it is the Suspensory Ligaments, which extend from the Ciliary Processes, that control the shape of the Lens.
The ciliary muscles and suspensory ligaments, along with the structure of the lens itself, enable the lens to adjust shape to facilitate focusing, a phenomenon called accommodation.
The ciliary muscle, part of the retina of the eye, changes the focal length of the lens by flattening it or making it more spherical.
There are no muscles which change the shape of the eye, although there are muscles which dilate and constrict the iris.