A stork is a type of bird that's normally associated with the mythical delivery of a new child.
Mainstream Smurfs Media[]
In mainstream Smurfs media, storks are used for the delivery of newborn Smurfs to the village, such as in the case of Baby Smurf in his debut story. Besides that, storks serve the same function as cranes in the comic books in that they provide transportation for the Smurfs.
Empath: The Luckiest Smurf stories[]
Because Smurfs are physically reproduced in the EMPATH: The Luckiest Smurf story series, storks are seldom seen or used for anything other than transportation for the Smurfs and for the one instance where Baby Smurf was delivered from Smurfling Island to the Smurf Village.