A selection of verses showing that Christ will rule over all nations.

The Psalms talk about a king ruling over all nations from Zion which is part of Jerusalem:

Psalms 2 verses 6 - 9
6 “Yet I have set my King on my holy hill of Zion.”
7 I will tell of the decree:
The LORD said to me, “You are my son.
Today I have become your father.
8 Ask of me, and I will give the nations for your inheritance,
the uttermost parts of the earth for your possession.
9 You shall break them with a rod of iron.
You shall dash them in pieces like a potter’s vessel.”

The prophet Isaiah predicts a special son to be born who will lead a powerful, worldwide, endless kingdom:

Isaiah 9 verses 6 - 7
6 For a child is born to us. A son is given to us; and the government will be on his shoulders. His name will be called Wonderful Counsellor, Mighty God, Everlasting Father, Prince of Peace. 7 Of the increase of his government and of peace there shall be no end, on David’s throne, and on his kingdom, to establish it, and to uphold it with justice and with righteousness from that time on, even forever. The zeal of the LORD of Armies will perform this.

The prophet Daniel foretells that God will set up a worldwide kingdom replacing all existing nations:

Daniel 2 verse 44
44 “In the days of those kings the God of heaven will set up a kingdom which will never be destroyed, nor will its sovereignty be left to another people; but it will break in pieces and consume all these kingdoms, and it will stand forever.

The prophet Daniel sees a vision indicating that God (the ancient of days) will give a son rulership over a worldwide permanent kingdom:

Daniel 7 verses 13 - 14
13 “I saw in the night visions, and behold, there came with the clouds of the sky one like a son of man, and he came even to the ancient of days, and they brought him near before him. 14 Dominion was given him, and glory, and a kingdom, that all the peoples, nations, and languages should serve him. His dominion is an everlasting dominion, which will not pass away, and his kingdom that which will not be destroyed.

The apostle Paul talks about Jesus Christ becoming a ruler over all the world:

1 Corinthians 15 verses 24 - 25
24 Then the end comes, when he will deliver up the Kingdom to God, even the Father, when he will have abolished all rule and all authority and power. 25 For he must reign until he has put all his enemies under his feet.

The book of Revelation is clear:

Revelation 11 verse 15
15 The seventh angel sounded, and great voices in heaven followed, saying, “The kingdom of the world has become the Kingdom of our Lord, and of his Christ. He will reign forever and ever!”

Related theme:

The rule of Jesus will show God's love and standards