Can you pass on your American Citizenship to your child?

A child born outside of the United States or its outlying possessions to two U.S. citizen parents, in wedlock, is entitled to citizenship, provided one of the parents had, prior to the birth of the child, been resident in the United States or one of its outlying possessions. (No specific period of time is required.)

A child born outside of the United States to one U.S. citizen parent and one non-U.S. citizen parent may be entitled to citizenship provided the U.S. citizen parent had been physically present in the United States or one of its outlying possessions for five years, at least two years of which were after s/he reached the age of fourteen.

For Children Born Before June 12, 2017: 

A child born outside of the United States and out of wedlock to a U.S. citizen mother may be entitled to U.S. citizenship provided the U.S. Citizen mother had been physically present in the United States for a continuous period of at least one year (365 days) at some time prior to the birth of the child. (NOTE: Periods spent overseas with the U.S. government/military or as a government/military dependent, are NOT considered as physical presence in the U.S. for transmission under this category).

For Children Born on or After June 12, 2017: 

A child born outside of the United States and out of wedlock to a U.S. citizen mother may be entitled to U.S. citizenship provided the U.S. citizen mother had been physically present in the United States or one of its outlying possessions for five years, at least two years of which were after she reached the age of fourteen prior to the birth of the child.

A child born outside of the United States and out of wedlock to a U.S. citizen father may be entitled to U.S. citizenship provided the U.S. citizen father had been physically present in the United States or one of its outlying possessions for five years, at least two years of which were after he reached the age of fourteen prior to the birth of the child.  In addition, the U.S. citizen father must acknowledge paternity and agree under oath and in writing at the interview to provide financial support for the child until s/he reaches the age of 18 years.