In Matthew 16:24-26 Jesus was encouraging His disciples to deny themselves, take up his cross and follow Him, and that if they were willing to “lose their life” for His sake there would be eternal gain instead of loss. In verse 27 He encourages them with this promise, “For the Son of Man will come in the glory of His Father with His angels, and then He will reward each according to his works.” Notice, He did NOT say He would be coming “with God the Father,” but “with His angels.” This is further confirmed in Matthew 24:30-31, “Then the sign of the Son of Man will appear in heaven, and then all the tribes of the earth will mourn, and they will SEE THE SON OF MAN COMING ON THE CLOUDS OF HEAVEN WITH POWER AND GREAT GLORY. And HE WILL SEND HIS ANGELS with a great sound of a trumpet, and they will gather together His elect from the four winds, from one end of the heaven to the other.” This passage makes it clear that the world will see “the Son of Man,” not God the Father. He will then “send His angels” to gather the elect from around the world, so they will be with Him when He comes.

We have answered your question but there is still a question we need to ask, “What does it mean when it says ‘Jesus will come in the glory of His Father?’” What exactly is meant by the words, “the glory of His Father?” In order to understand this I will quote two other verses.

“Jesus said to him, ‘It is as you said. Nevertheless, I say to you, hereafter you will see the Son of Man SITTING ON THE RIGHT HAND OF THE POWER, and coming on the clouds of heaven” (Matthew 26:64)

“When the Son of Man comes IN HIS GLORY, and all the holy angels with Him, then He will SIT ON THE THRONE OF HIS GLORY” (Matthew 25:31)

In the first verse, we learn that currently Jesus is “sitting on the right hand of the Power,” which means He is “sitting on the right hand of His Father.” Scripture teaches us that after Jesus died and rose again the Father glorified His Son by seating Him at His right hand. Ephesians 1:19-21 bears this out, “…according to the working of His mighty power which He worked in Christ when He raised Him from the dead and seated Him at His right hand in the heavenly places, far above all principality and power and might and dominion, and every name that is named, not only in the age but also in that which is to come.” God the Father was so pleased with His Son becoming a Man and being “obedient to the point of death, even the death of the cross” (Philippians 2:8), that He “highly exalted Him” (verse 9) by giving Him the highest place in glory on His right hand. So, when He does return to earth He will be coming from that place that He now occupies at “the right hand of the Power.” People will see that! They will know that He is coming from the very glory that God the Father resides in. This is one reason why it states that Jesus (the Son of Man) “will come in the glory of His Father.”

The second verse reveals another precious truth. Though Jesus will “come in the glory of His Father,” He will ALSO come “in His glory” and “sit on the throne of His glory.” Again, He is currently “sitting on the right hand of the Father’s throne,” but when He returns to earth “He will sit on His own throne!” He will be sitting there AS A MAN, as “the Son of David” who will rule over Israel (Matthew 1:2 with 2nd Samuel 7:8-16) and as the “Son of Man” who will reign over the entire world (Psalm 2; Psalm 8 and Revelation 19:11-16). His Kingdom will last 1,000 years (see Revelation 20:1-6) and then eternity will begin where God (the Father, the Son and the Holy Spirit) will  dwell with men and reign forever over a new heaven and a new earth (Revelation 21:1-5).  (352.5)  (DO)