The importance of the Veil is that it was a barrier of access to God. It marked a point of demarcation in two ways. The Veil that separated the Holy of Holies from the Holy Place also separated the high priest from all the common priests who only were allowed in the Holy Place. This separation meant that only one man, out of one family, out of one tribe, out of one nation, out of the entire world, was ever allowed to enter into the very presence of God. Even for him, it was only for one day out of the entire year, the Day of Atonement. The more significant separation was between God and the earth’s population in that no one had access to the presence of God, except this one being, the High Priest.
It was this Veil that split from top to bottom at the moment of the death of Jesus (Matthew 27:51). The rending or tearing of the Veil demonstrated that the separation between God and man had now been broken by the death of the Lord Jesus now all have access to God through faith (Hebrews 9:12; 10:19–22).