The LORD reigns is declared in Ps. 93:1; 96:10; 97:1; 99:1.
The LORD is King is said in Ps. 95:3; 98:6.
The word King is the noun and reign the verb of the same Hebrew root word.

The only Psalm between Psalms 93-99 that do not state God is King or He reigns in Psalm 94 and it must be associated in some way with His reign. We will see more about that, LORD willing, when we cover that text.

Psalm 89 was a Royal Psalm, a psalm emphasizing the human king from the line of David, and apparently written when there was no king left on the throne.
Book 4 of the Psalms (90-106) shows that God is still King even if there is no king from David's line on the throne.

Psalm 93 and Jesus

93:1 The truth the LORD reigns is proclaimed in Rev.19:6 though the thought is contained in several OT passages. 

“Christians celebrate God’s kingship in the person of Jesus, the ‘anointed king’ (Messiah) who has come to establish God’s kingdom. When He stilled the waves and walked on the water (Matt. 8:23-27; Mark 6:45-52; John 6:16-24), He showed that He is the God who controls the forces of chaos” Longman, 335. 93:3-4

“The real and fundamental truth about the world is simply this: God reigns. The disparity between this proclamation and the so-called real-world calls for a decision…The decision is the same one Jesus called for when He announced the presence of God’s reign and invited people to enter it (Mark 1:14-15)” McCann, 1055. 

93:1 The word used for clothed in the LXX is used 27 times as a verb in the NT. It is used is Matt. 27:31 and Mk. 15:20 of the soldier’s treatment of Jesus. They mocked Him, they took the robe off Him and put His own garments back on Him and led Him away to crucify Him. The one who was clothed in majesty is clothed with His own garments in a mocking way. 

93:1 The word for girded in girded Himself is used in Rev. 1:13, where Christ is girded with a golden sash.

93:2 Your throne…- Heb. 1:8-9 

93:2 You are from everlasting- John 1:1-3