Private confession as in one to one with the confessor - yes? What do you mean by ‘‘public’’ confession/ Is that a general absolution given in a church service?
Here is our public Confession of Sin that is said at Church with us kneeling.
The following can be found in our Book of Common Prayer.
The Celebrant may read one of the following -
Jesus said, “The first commandments is this: Hear, O Israel:
The Lord your God is the only Lord. Love the Lord your
God with all your heart, with all your soul, with all your
mind, and with all your strength. The second is this: Love
your neighbor as yourself. There is no commandment
greater than these.” Mark 12:29-31
If we say that we have no sin, we deceive ourselves, and the
truth is not in us. But if we confess our sins, God, who is
faithful and just, will forgive our sins and cleanse us from all
unrighteousness. 1 John 1:8,9
Since we have a great high priest who has passed through the
heavens, Jesus, the Son of God, let us with confidence draw
near to the throne of grace, that we may receive mercy and
find grace to help in time of need. Hebrews 4:14,16
Celebrant then says
Let us confess our sins against God and our neighbor.
Minister and People
Most merciful God,
we confess that we have sinned against you
in thought, word, and deed,
by what we have done,
and by what we have left undone.
We have not loved you with our whole heart;
we have not loved our neighbors as ourselves.
We are truly sorry and we humbly repent.
For the sake of your Son Jesus Christ,
have mercy on us and forgive us;
that we may delight in your will,
and walk in your ways,
to the glory of your Name. Amen.
The Bishop when present, or the Priest, stands and says
Almighty God have mercy on you, forgive you all your sins
through our Lord Jesus Christ, strengthen you in all
goodness, and by the power of the Holy Spirit keep you
in eternal life. Amen.