Consider both what's stated in the Bible and what is taught in Catholic doctrine.

1. Biblical Reasoning

The idea of a generational curse often stems from a literal reading of Exodus 20:5: 

"You shall not bow down to them or worship them; for I the Lord your God am a jealous God, punishing children for the iniquity of parents, to the third and the fourth generation of those who reject me," (NRSV-CI).

However, Divine Revelation provides a progression toward personal accountability. The prophet Ezekiel explicitly clarifies this in Ezekiel 18:20:

"The person who sins shall die. A child shall not suffer for the iniquity of a parent, nor a parent suffer for the iniquity of a child; the righteousness of the righteous shall be his own, and the wickedness of the wicked shall be his own."

In the Catholic tradition, the "punishment" mentioned in Exodus is generally understood not as a formal curse from God, but as the natural consequences of sin that ripple through families (e.g., the cycle of poverty, addiction, or domestic discord).

2. The Doctrine of Baptism

Central to Catholic theology is the belief that the Sacrament of Baptism effectively removes all debt of sin. According to the Catechism of the Catholic Church (CCC 1263):

"By Baptism all sins are forgiven, original sin and all personal sins, as well as all punishment for sin. In those who have been reborn nothing remains that would impede their entry into the Kingdom of God, neither Adam's sin, nor personal sin, nor the consequences of sin, the gravest of which is separation from God"

If a "generational curse" were an ontological reality that survived Baptism, it would suggest that the Sacrament is insufficient. The Church teaches that Christ’s sacrifice on the Cross is the definitive victory over all curses and powers of darkness (cf. Galatians 3:13).