Norwood and his wife, Tiffiney, have five children together. Norwood's son Gabe, is a former member of the George Mason University basketball team that advanced to the 2006 NCAA Final Four. He is currently playing for the Rain or Shine Elasto Painters in the Philippine Basketball Association and is a former member of the Philippine national basketball team. His other son, Jordan, played wide receiver at Penn State and is currently a wide receiver for the Cleveland Browns. His third son, Levi, is a receiver for Baylor University. His only daughter, Brianna, is on the dance team at George Mason University. His youngest son, Zac, is on his high school's basketball team.