Hello, welcome to JustAnswer, my name is Judith. Thank you for this opportunity to answer your questions.

As outlined in 9 FAM 42.1 N1.1, a child
under two years of age who was born of a Permanent Resident Alien mother during
a temporary visit abroad does not require an immigrant visa in order to travel
to the United States if the alien parent is in possession of a valid Form I-551
(i.e. green card), a valid reentry permit, or an SB-1 visa. The child
must be admitted to the U.S. within two years of birth and the accompanying parent must be applying for readmission upon first return after the birth of the child. We suggest that the accompanying parent carry documentary evidence of his or her
relationship to the child, including the child's passport and birth
certificate.

Some people choseto have their children in the home country to be close to their families.
Children born abroad to permanent resident mothers are permanent residents, if
certain conditions are met. The requirements are that such a child must be
brought to the U.S.
on the mother's first return trip (following the birth), which must occur
before the child is two years of age. As of this writing, the child in this
situation does not need a visa. The necessary paperwork is processed at the
port of entry, based on the mother's permanent resident status and the child's
birth certificate.

A child born abroad of legal permanent resident parents may enter the U.S.
without a visa provided the child is accompanied by a parent upon that parent's
initial return to the U.S.
within two years of the child's birth with documentation showing the
parent-child relationship. If the child is not brought back to the U.S. when the parent initially enter the U.S. (following the birth) within this time
period, the child must obtain an immigrant visa to enter the U.S.

Judith

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You have to make an appointment at the US Embassy for a Transportation Letter for the child.

You have to take your passport and green card with you and you need to allow at least 4-6 weeks for them to issue the letter for you to travel with the child back.

Then once you get to the US they will process your chld for their green card at the airport.

Judith

Please feel free to ask me
another question with a new thread - if you're a subscriber, you can do so at
no additional cost beyond your monthly payment. Please bookmark my profile page
here so you can come back and ask me a question anytime: http://www.justanswer.com/law/expert-askimmigrationlaw/

I am happy to
answer follow-up questions for you at no additional cost.

If you want to
request me in the future start your question "FOR JUDITH" and I will
answer quickly.