Yes, if your child was born alive during the year and the tests for claiming the child tax credit are met, you may claim the child tax credit for her. You may also be entitled to claim he additional child tax credit (ACTC) for her. 

For information about taxpayer identification number requirements, see the Instructions for Schedule 8812 (Form 1040) or My daughter was born at the end of the year. We're still waiting for a Social Security number. May I file my return now and provide her Social Security number later?

Refer to Publication 501, Dependents, Standard Deduction and Filing Information for more information.