Leviticus 27:9

And if it be a beast, whereof men bring an offering unto the Lord, all that any man giveth of such unto the Lord shall be holy.

Cross-reference

Proverbs 20:25 warns against making rash vows of holiness, directly relating to the sanctification of animals here.

Matthew 15:5 shows Pharisees exploiting the Corban vow to avoid parents — a contrast to the proper use of dedicated offerings in Leviticus.

In Ecclesiastes 5:6, the warning against rash vows echoes the principle that vowed animals become holy — both emphasize commitment to God.

Ezekiel 48:14 prohibits selling or exchanging holy land, paralleling the sanctity of vowed animals — holy things must not be traded.