From "Answers To Your Bible Version Questions" ©2003 by David W. Daniels.
Reproduced by permission
Question: Why is the doxology of the Lord's prayer ("For thine is the kingdom, and the power, and the glory forever. Amen") found in Matthew, missing in Luke's account of the same in his Gospel?
Answer: One reason God preserved His words, not just His "word" in general is because every single word is very important — to God and to us. When we look at the context of each Scripture, the answer to the differences between Matthew's and Luke's recording of the Lord's prayer becomes clear. Remember as you read that the terms of location and direction (up, down, in to, out of) are very literally true.
The time Matthew quotes Jesus' prayer is during the Sermon on the Mount (recorded in Matthew 5-7). Jesus was speaking to multitudes who came to hear Him. We find this proof in Matthew 5:1-2:
"And seeing the multitudes, he went up into a mountain: and when he was set, his disciples came unto him: And he opened his mouth, and taught them, saying,"
After Jesus spoke what we find in Matthew during this sermon, He, His disciples and a multitude of people descended from the mountain. We find this at the beginning of chapter 8:
"When he was come down from the mountain, great multitudes followed him." (Matthew 8:1).
Two chapters later, Jesus commissioned His twelve disciples and called them apostles (Matthew 10:1-42).
However it is a different time and place where Jesus said a similar prayer in Luke.
Jesus had already commissioned His twelve apostles in 6:13-16. That means it is later in time than Matthew's Sermon on the Mount. After this commissioning, the Lord Jesus Christ came down from a mountain (Luke 6:12, 17), not up into a mountain, with His apostles and other followers to a plain to speak to them. In Luke 10:1-24 Jesus Christ commissioned 70 others to heal and preach as well. Then in Luke 11:1, we read these words:
"And it came to pass, that, as he was praying in a certain place, when he ceased, one of his disciples said unto him, Lord, teach us to pray, as John also taught his disciples."
Note two differences: 1) Jesus was praying in a certain place, not preaching to a multitude; 2) When He was finished, one of His disciples asked Him directly to teach them how to pray.
The differences between the two occurrences of the "Lord's Prayer" (really the "Disciples' Prayer") are perfectly explained by the fact that they were said on two completely different occasions, with two different audiences, and for different reasons.
That is nothing like the issue of the Alexandrian perversions removing God's actual words from the pages of Scripture. It is simply the exact words the Lord Jesus Christ said on two different occasions.
May God bless you as you "study to shew thyself approved unto God" (2 Timothy 2:5).