veil
The veil which was rent was the veil which divided the holy place into which the priests entered from the holy of holies into which only the high priest might enter on the day of atonement,
( See Scofield) - (Exodus 26:31); (Leviticus 16:1-30).
The rending of that veil, which was a type of the human body of Christ (Hebrews 10:20) signified that a "new and living way" was opened for all believers into the very presence of God with no other sacrifice or priesthood save Christ's.
Compare (Hebrews 9:1-8); (Hebrews 10:19-22).