孩子不需要有Certificate of Citizenship就可以申请美国护照

美国护照公民身份证据 -> Examples of Secondary Citizenship Evidence -> I was born outside the United States -> I became a U.S. citizen through my parent who naturalized or through the Child Citizenship Act of 2000：

“If you were born outside the United States and got U.S. citizenship through the naturalization of your parent(s), submit:

• Your foreign birth certificate listing your parent(s)
• Evidence of your parent’s U.S. citizenship such as a U.S. birth certificate, Consular Report of Birth Abroad (CRBA), or naturalization certificate
• Evidence of your permanent residence status. Examples include:
  • Permanent Resident Card/Green Card
  • Foreign passport with the original I-551 visa entry stamp
• Your parents' marriage certificate (if your parents were married when you legally entered the U.S. and before your 18th birthday) 
• [...]”

DS-11美国护照申请表 -> OTHER FORMS OF PROOF OF U.S. CITIZENSHIP -> APPLICANTS BORN OUTSIDE THE UNITED STATES：

“- If you claim citizenship through naturalization of one or both parent(s), submit all of the following:
• Certificate(s) of Naturalization of your parent(s)
• Your foreign birth certificate (and official translation if the document is not in English)
• Evidence of your admission to the United States for legal permanent residence and proof you subsequently resided in the United States
• Your parents' marriage/certificate and/or evidence that you were in the legal and physical custody of your U.S. citizen parent, if applicable”

8 FAM 301.10-1.f：

“f.  Parents of children who acquired U.S. citizenship automatically under the CCA may apply for a Certificate of Citizenship from USCIS (a Certificate of Citizenship is not required to issue a passport) and/or a U.S. passport.”

这样自动变成美国公民的小孩通常先申请美国护照（因为更便宜、更快、更有用）。有些人后来再申请Certificate of Citizenship；有很多人没有申请Certificate of Citizenship。