The right to freedom of the press is in the first amendment:

“Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances” (United States of America 1789 (Rev. 1992) Constitution - Constitute, 1992).