10th Amendment

copied from:http://www.archives.gov/exhibits/charters/bill_of_rights.html

The powers not delegated to the united states by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people.

Simply put Newt suggest diminishing the power of the federal government and increasing the state powers....much like the antifederalists. 

Does this violate the states rights? 

The tenth amendment lays out the power of the States, or to the people. The States of the people have all the power except what the constitution gives the government, and what the constitution says the States can't do; expressly-(not listed in this amendment) is the word that gave power to the states in the Articles of Confederation. And Implied powers come out of the “necessary and proper clause” (article 1, section 8, clause 18). James Madison said “without this clause the constitution would be a dead letter.”