Jesse James Apologizes to Sandra Bullock and His Children

Jesse James

Jeffrey Mayer/WireImage

updated 03/19/2010 AT 12:00 AM ET

originally published 03/18/2010 AT 3:30 PM ET

Jesse James has broken his silence.

Facing allegations of infidelity, James issued an apology Thursday to his wife Sandra Bullock and his three children, taking full responsibility for their heartbreak.

In a statement provided to PEOPLE, he says:

“The vast majority of the allegations reported are untrue and unfounded. Beyond that, I will not dignify these private matters with any further public comment.

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“There is only one person to blame for this whole situation, and that is me. It’s because of my poor judgment that I deserve everything bad that is coming my way.

“This has caused my wife and kids pain and embarrassment beyond comprehension and I am extremely saddened to have brought this on them. I am truly very sorry for the grief I have caused them. I hope one day they can find it in their hearts to forgive me.”

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