"The child named xxx has been recorded as the acknowledged legitimate son/daughter of both parents named . . . ."

Another way of putting it.

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Note added at 5 hrs (2009-03-17 12:04:13 GMT)
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Alternatif lainnya bisa juga 'admission of parentage'.

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Note added at 16 hrs (2009-03-17 22:23:49 GMT) Post-grading
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Ref.:
*Paternity Acknowledgment* is the name given to the voluntary proce$$ of the unwed father being recognize as the alleged biological father (not birth father - fathers do not give birth!) of a child or children for child $upport purposes ONLY. A little known fact of these Paternity Acknowledgment$ is that custody is granted to the mother. Most often nurses or midwives are required by the state to ask the alleged father to sign the Paternity Acknowledgment Form.
Please note that paternity acknowledgment DOES NOT establish legal, court recognized paternity, and may establish custody without due process (administratively designated custody).
Be aware that there are many different "feel good" names given to this voluntary process. Some of these names are: Declaration of Paternity, Recognition of Parentage (ROP), Paternity Establishment, Paternity Opportunity Program (POP), and A Simple *Acknowledgment of Paternity* (ASAP Program). Even though the names may be different, the outcome is still the same.
On the other hand, with the legal recognition of paternity through District Court, the father is responsible for the monetary support of the child according to each states adopted child support guidelines, AND has the RIGHT for legal, enforceable, visitation.
http://members.peak.org/~jedwards/paternity.html

An *admission of parentage* by the father will not create a family relationship between the child with his/her father’s family.
http://www.expat.or.id/info/childrenbornoutofwedlock.html