Despite nonbelievers, who think they know the Bible better than believers do, who say Jesus never admitted to being the Messiah, He did admit it quite clearly on a number of occasions. It only takes ignorance or someone playing child’s games not to admit it.
In Matthew 24:5, Jesus said “For many shall come in My name, saying ‘I am Christ’, and shall deceive many.” Before that, Jesus asked His disciples in Matthew 16:15 who do they think He is. Peter answered “You are the Christ, the Son of the living God.” Jesus replied to his testimony that he was blessed, because flesh and blood did not reveal this to him, “but My Father, which is in heaven.” Jesus then charged His disciples to tell no one that He was the Christ.
The evil high priest Caiaphas asked Him if He was the Christ. Jesus saying “You have said” was Him agreeing with Caiaphas, then He said afterward he “will see the Son of man sitting on the right hand of Power, and coming in the clouds of heaven.” Caiaphas then used this admission to sentence Him to death for blasphemy. If Jesus did not mean He was the Christ when He said those things, then Caiaphas couldn’t use those words against Him. Also with Jesus saying He was going to sit on the right hand of Power was a prophecy by King David of the Messiah in Psalm 110:1 “The Lord said to my Lord, ‘Sit here at My right hand until I make Your enemies Your footstool.”
The gospel of John is filled with admissions by Jesus that He was the Christ. In John 4:26 after a woman said she believed the Christ was coming soon, and asked Jesus when He will come, Jesus said “I that speaks to you is He.” In John 6:35, Jesus said “I am the bread of life. He that comes to Me shall never hunger, and He that believes in Me shall never thirst.” The next several verses also reinforce His admission that He was the One sent by God to be the Messiah. John 8:12, Jesus said “I am the light of the world. He that follows Me shall not walk in darkness, but shall have the light of life.”
In John 9:35, Jesus asked a blind man He had healed earlier if He believed in the Son of God. The healed man asked Him who the Son was, and Jesus said “You have seen Him, and it is He you are talking to.” In chapter 10, Jesus says He is the door for the sheep, and the Good Shepherd who gives His life for His sheep. In chapter eleven, Jesus spoke to the sister of Lazarus after he died, but Jesus said his sickness was not to death, but it was for the glory of God, and the Son of God would be glorified by Lazarus’ life from death. He then said “I am the resurrection and the life. He that believes in Me, though he were dead, yet shall live again.”
There are actually several other instances of His admission to being the Messiah. Messiah means “anointed”, and “Christ” is the English version of the Greek translation of Messiah.