Federal Computer Systems Protection Act of 1984 - Amends the Federal criminal code to establish penalties for knowingly accessing or attempting to access a computer with the intent to defraud, obtain money or property by false pretenses, embezzle, steal, or convert the property of another. Limits the kinds of computers covered by the Act to those operating in interstate or foreign commerce or operating on behalf of the Federal government or a financial institution.

Provides additional penalties for any person who willfully and without authorization damages, or destroys a computer or a computer program, or attempts to do so.

Makes it a misdemeanor to intentionally and without authorization access a computer.

Provides for the forfeiture of any interest acquired or maintained in any computer as a result of a violation of this Act.