Ciliary zonules

The zonule of Zinn (Zinn's membrane, ciliary zonule) is a ring of fibrous strands connecting the ciliary body with the crystalline lens of the eye. The zonule of Zinn is split into two layers: a thin layer which lines the hyaloid fossa and a thicker layer which is a collection of zonular fibers. Collectively, the fibers are known as the suspensory ligament of the lens[1].

http://en.wikipedia.org/wiki/Ciliary_zonules