Did Jesus claim to be the God of the burning bush?

Yes, in two distinct ways: he argued from the present tense of Exodus 3:6 to prove the resurrection, and he said 'before Abraham came into being, I am' — the same predicate-less self-declaration God made at the bush.

Jesus made the connection himself — twice, in two different ways.

The first time is in a dispute about the resurrection. The Sadducees, who did not believe in resurrection, tried to trap Jesus with a scenario about seven brothers. Jesus shut it down by pointing them back to the burning bush:

"Have you not read... how God spoke to him at the bush, saying, 'I am the God of Abraham, and the God of Isaac, and the God of Jacob'? He is not God of the dead, but of the living."

— Matthew 22:31–32 (see also Mark 12:26–27; Luke 20:37)

The argument is precise. At the burning bush, God does not say "I was the God of Abraham." He says, "I am the God of Abraham" — present tense. The patriarchs had been dead for centuries by Moses' time. If God still speaks of them in the present tense, they cannot be simply gone. The burning bush, Jesus says, is evidence for life after death — because the God who identified himself there is a God of the living, not the dead.

The second connection is more direct. In John's Gospel, Jesus is in a heated exchange with the religious authorities about who he is. He says, "Your father Abraham rejoiced that he would see my day" — and they push back: "You are not yet fifty years old, and have you seen Abraham?" Then Jesus says:

"Truly, truly, I say to you, before Abraham came into being, I am."

— John 8:58

The Greek grammar is exact. Abraham's existence is described with the aorist infinitive γενέσθαι — a one-time, past, contingent coming-to-be. Jesus' existence is described with the present tense of εἰμί (eimi, G1510): ἐγώ εἰμι, "I am" — a continuous, unqualified present that matches the Greek Old Testament's translation of God's name at the bush, ὁ ὤν, "the One who is." The contrast is between a created existence that had a beginning and a being who simply is, without a beginning or an end.

That was not a subtle claim. The crowd immediately picked up stones to throw at him (John 8:59). They understood exactly what he was saying.

The absolute "I am" without a predicate — no "I am the bread" or "I am the shepherd," just "I am" — appears three times in John 8: at verse 24, verse 28, and verse 58. Each time, Jesus is using the same form God used at the burning bush when he said "I AM has sent me to you" (Exodus 3:14). The self-predication that defined God's identity for Moses becomes the self-predication Jesus reaches for to define his own.

The chain does not stop there. The Book of Revelation takes the Greek of the bush (ὁ ὤν, "the One who is") and expands it across all three directions of time: "grace from the one who is and who was and who is coming" (Revelation 1:4). The God of the burning bush — who told Moses "I will be with you" — becomes, in the last book of the Bible, the one who was, who is, and who is coming.

The full study traces this name from the thornbush in Exodus through Isaiah, through John, and into Revelation, showing how one Hebrew verb at the edge of the wilderness became the name that carries the whole Bible.