The newborn named Logan Michael Lohan, is Michael and Kate's second child. He was born on Wednesday, reported Us Weekly.
"Kate and I are ecstatic. A bit late for Christmas but the best gift imaginable," Michael, 54, said.
"What a way to bring in the new year! God has blessed me with the best children a father could ever ask for - but I am done!"
The couple, who wed in Florida in October, have one son together, Landon, who was born in January 2013.
It was reported in 2012 that Michael Sr also fathered a child in 1995 named Ashley Horn. The results of a paternity test were aired on the 'Trisha Goddard' talk show.
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