nut·graph or nut graph (n?t?gr?f?)n. A paragraph in a feature story or essay, as in a newspaper or magazine, that summarizes the most important facts.[nut(shell para)graph.]American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.