The phrase "to book an award" refers to the process of reserving a flight, hotel room or other travel-related service by using points, miles or other rewards earned through loyalty programs. This can be done either directly with the airline, hotel chain or reward program, or through a travel agency that specializes in helping members use their points and miles for booking awards. The term "book" refers to making a reservation or securing a spot for something, while "award" is used here as it relates to the recognition or honor given for achieving a certain level of points or miles through loyalty programs.