Children, Disinheriting
People are generally permitted to give away their property however they wish. Any person or entity may be named as the beneficiary of all or any portion of the estate.  Having this freedom means a testator is also not required to name any person or entity as a beneficiary, even a child.

It is possible to exclude a child from participating in the distribution of an estate by simply omitting that child's name from the will.  Although it is not necessary, it is not uncommon to include a statement of intent in the will to show that the disinheritance of that child was not accidental. A reason for the decision is not necessary, as it is solely intended to clarify the intentional nature of the omission.

For Example:
"The omission of my children, Charles P. Brown and Jane R. Brown, from any distribution made by my will is intentional."

See: Step-Children, Disinheriting; will Contests, Who May Contest