Assessing Monetary Influence in the Courts of the United States Act or the AMICUS Act This bill requires certain disclosures from a person that files three or more amicus briefs in a calendar year in the Supreme Court or a U.S. court of appeals. Specifically, such a person must disclose the name of anyone who (1) contributed to the preparation or submission of the amicus brief, or (2) made certain monetary contributions to the person. Persons that are subject to these requirements must register with the Administrative Office of the U.S. Courts, which must make the registration information publicly available. Such persons are also prohibited from making gifts or providing travel to any U.S. court of appeals judge or Supreme Court justice.