Hi, I am a resident non immigrant worker. My children have ITIN and hence not eligible for Child Tax Credit. But the turbotax credits child tax credit. Are there options?

More information about your situation would help resolve your question.  For example, are you considered a resident or nonresident alien for U.S. tax purposes (see IRS Publication 519 at this link for more information)?

That sounds like an error in the program.  If that is the case, you may need to prepare your tax return some other way.

Form 1040 line 13 a shows Child tax credit or credit for other dependents . 

The Credit for Other Dependents is tax credit available to taxpayers for each of their qualifying dependents who can't be claimed for the Child Tax Credit. A taxpayer can claim the Other Dependent Credit  for a dependent who meets all the rules to be a qualifying child for the Child Tax Credit  except for the SSN requirement.

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@MayaD wrote:

A taxpayer can claim the Other Dependent Credit  for a dependent who meets all the rules to be a qualifying child for the Child Tax Credit  except for the SSN requirement.

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No.  The dependent must be a US Citizen, Resident or National.   A Citizen or Resident of Mexico or Canada can qualify as a dependent, but they do NOT qualify for the Other Dependent Credit.