Obscenity is not protected under First Amendment rights to free speech, and violations of federal obscenity laws are criminal offenses. The U.S. courts use a three-pronged test, commonly referred to as the Miller test, to determine if given material is obscene.
What is obscenity and is it protected by the Constitution?
Obscenity refers to a narrow category of pornography that violates contemporary community standards and has no serious literary, artistic, political or scientific value. For adults at least, most pornography receives constitutional protection.
Does the 1st and 14th Amendment protect obscenity?
“I would hold, therefore, that at least in the absence of distribution to juveniles or obtrusive exposure to unconsenting adults, the First and Fourteenth Amendments prohibit the State and Federal Governments from attempting wholly to suppress sexually oriented materials on the basis of their allegedly 'obscene' ...