Yes. Assuming Jesus was executed, he was executed by the Romans. I'm sure that the ruling elite didn't particularly care for someone who may have led a temple insurrection either, but he his execution was almost certainly of Roman origin.
Certainly it was Pontius Pilate, as representative of the Romans by virtue of being governor of Judea, who formally ordered the execution.
However, we will have to agree to disagree that it was not the Pharisees, priests, and scribes who originally conspired to have him murdered.
Luke 22:1-6
Now the Feast of Unleavened Bread drew near, which is called Passover.
And the chief priests and the scribes sought how they might kill Him, for they feared the people.
Then Satan entered Judas, surnamed Iscariot, who was numbered among the twelve. So he went his way and conferred
with the chief priests and captains, how he might betray Him to them. And they were glad, and agreed to give him money. So he promised and sought opportunity to betray Him
to them in the absence of the multitude.
Luke 23:1-25
Then the whole multitude of them arose and led Him to Pilate. And they began to accuse Him, saying, “We found this fellow perverting the nation, and forbidding to pay taxes to Caesar, saying that He Himself is Christ, a King.” Then Pilate asked Him, saying, “Are You the King of the Jews?”
He answered him and said, “It is as you say.”
So Pilate said
to the chief priests and the crowd, “I find no fault in this Man.” But they were the more fierce, saying, “He stirs up the people, teaching throughout all Judea, beginning from Galilee to this place.” When Pilate heard of Galilee, he asked if the Man were a Galilean. And as soon as he knew that He belonged to Herod’s jurisdiction, he sent Him to Herod, who was also in Jerusalem at that time.
Now when Herod saw Jesus, he was exceedingly glad; for he had desired for a long time to see Him, because he had heard many things about Him, and he hoped to see some miracle done by Him. Then he questioned Him with many words, but He answered him nothing.
And the chief priests and scribes stood and vehemently accused Him. Then Herod, with his men of war, treated Him with contempt and mocked Him, arrayed Him in a gorgeous robe, and sent Him back to Pilate. That very day Pilate and Herod became friends with each other, for previously they had been at enmity with each other.
Then Pilate, when he had called together
the chief priests, the rulers, and the people, said to them, “You have brought this Man to me, as one who misleads the people. And indeed, having examined Him in your presence, I have found no fault in this Man concerning those things of which you accuse Him; no, neither did Herod, for I sent you back to him; and indeed nothing deserving of death has been done by Him. I will therefore chastise Him and release Him” (for it was necessary for him to release one to them at the feast).
And they all cried out at once, saying, “Away with this Man, and release to us Barabbas”— who had been thrown into prison for a certain rebellion made in the city, and for murder.
Pilate, therefore, wishing to release Jesus, again called out
to them. But
they shouted, saying,
“Crucify Him, crucify Him!”
