Original: The National Hurricane Center (NHC), located at Florida International University in Miami, Florida, is the division of National Weather Service's Tropical Prediction Center responsible for tracking and predicting the likely behavior of tropical depressions, tropical storms and hurricanes.
Simplified: The U.S. National Hurricane Center (NHC for short), is a department of the National Weather Service's Tropical Prediction Center, which is responsible for tracking and forecasting the likely behavior of tropical depressions, tropical storms and hurricanes.