We know a few relics which were considered to be the burial cloths of Christ. They have been stored for centuries and worshipped with special reverence. They are called sudaria and they served different purposes. The diagram below presents a probable layout of the burial cloths.
After taking His body off the cross it was moved to the tomb which belonged to Joseph of Arimathea. He was an influential and affluent man, a member of the Sanhedrin, and according to John he was also a disciple of Jesus. He asked Pontius Pilatus to approve the burial. The request was complied with, after making sure of Jesus' death. Had it not been for Joseph's interference, His body would probably have been thrown into a common grave together with other crucified people. Joseph bought the burial shroud and 100 pounds (about 32.7 kilogrammes) of myrrh and aloes. The body was placed in a niche on the cloth, wrapped in two shrouds and bound with bands. The head was wrapped with a cloth and the cap was put on it. The fine byssus cloth veil was placed on top. Joseph was assisted by Nicodemus, who was a Jewish dignitary, a Pharisee and a member of the Sanhedrin.
(c) Raimond Spekking / CC-BY-SA-3.0 (via Wikimedia Commons)