John Chrysostom

For as though they were afraid lest they should seem to fall short at all in the crime, having killed the prophets with their own hands, but this man with the sentence of a judge, so they do in every deed; and make it the work of their own hands, and condemn and sentence both among themselves and before Pilate, saying, "His blood be on us and on our children," and insult Him, and do despite unto Him themselves, binding Him, leading Him away, and render themselves authors of the spiteful acts done by the soldiers, and nail Him to the …

Homily on the Gospel of Matthew 87 ↗

Theophylact of Ohrid

Then answered all the people, and said, His blood be on us, and on our children. The people took upon themselves the punishment for His murder, and this punishment indeed overtook them when the Romans destroyed them and their children. But even to this day, the Jews, who are children of those who slew the Lord, have His blood upon them. Because of their disbelief in the Lord they have been persecuted by all, and they have had no boldness before their persecutors on account of those words spoken to Pilate.

Commentary on Matthew ↗

Jerome

And all the people answered and said, 'His blood be on us and on our children.' This curse persists upon the Jews until the present day, and the blood of the Lord is not removed from them. Hence, Isaiah speaks: 'If you raise your hands to me, I will not listen to you. For your hands are full of blood' (Isaiah 1:15). The Jews leave the best inheritance to their children, saying, 'His blood be on us and on our children.'

Commentary on Matthew ↗

Thomas Aquinas

Then follows the offering of themselves to punishment: "his blood be upon us and upon our children." And so it happened that the blood of Christ has been required of them to this day; and what was said at Genesis 4:10 well applies to them: "the blood of thy brother Abel crieth to me from the earth." But the blood of Christ is more efficacious than the blood of Abel. …

Commentary on Matthew ↗