Source : Webster's Revised Unabridged Dictionary (1913)

Crave \Crave\ (kr[=a]v), v. t. [imp. & p. p. {Craved}
   (kr[=a]vd); p pr. & vb. n. {Craving}.] [AS. crafian; akin to
   Icel. krefja, Sw. kr[aum]fva, Dan. kr[ae]ve.]
   1. To ask with earnestness or importunity; to ask with
      submission or humility; to beg; to entreat; to beseech; to
      implore.

            I crave your honor's pardon.          --Shak.

            Joseph . . . went in boldly unto Pilate, and craved
            the body of Jesus.                    --Mark xv. 43.

   2. To call for, as a gratification; to long for; hence, to
      require or demand; as, the stomach craves food.

            His path is one that eminently craves weary walking.
                                                  --Edmund
                                                  Gurney.

   Syn: To ask; seek; beg; beseech; implore; entreat; solicit;
        request; supplicate; adjure.

Craving \Crav"ing\ (-?ng), n.
   Vehement or urgent desire; longing for; beseeching.

         A succession of cravings and satiety.    --L'Estrange.
   -- {Crav"ing*ly}, adv. -- {Crav"ing*ness}, n.

Source : WordNet®

craving
     n : an intense desire for some particular thing