Christ's priestly office consists of these two parts, (1) the offering up of himself as a sacrifice, and (2) making continual intercession for us.

When on earth he made intercession for his people ( Luke 23:34 ; John 17:20 ; Hebrews 5:7 ); but now he exercises this function of his priesthood in heaven, where he is said to appear in the presence of God for us ( Hebrews 9:12 Hebrews 9:24 ).

His advocacy with the Father for his people rests on the basis of his own all-perfect sacrifice. Thus he pleads for and obtains the fulfilment of all the promises of the everlasting covenant ( 1 John 2:1 ; John 17:24 ; Hebrews 7:25 ). He can be "touched with the feeling of our infirmities," and is both a merciful and a faithful high priest ( Hebrews 2:17 Hebrews 2:18 ; Hebrews 4:15 Hebrews 4:16 ). This intercession is an essential part of his mediatorial work. Through him we have "access" to the Father ( John 14:6 ; Ephesians 2:18 ; 3:12 ). "The communion of his people with the Father will ever be sustained through him as mediatorial Priest" ( Psalms 110:4 ; Revelation 7:17 ).

These dictionary topics are from
M.G. Easton M.A., D.D., Illustrated Bible Dictionary, Third Edition,
published by Thomas Nelson, 1897. Public Domain, copy freely.