HM03 is a HM introduced in Generation I. As a HM, the move it teaches can be used in battle and outside of battle, however, with the exception of Generation V, in order to use the move outside of battle, a certain gym badge is required. In all generations, HM03 is Surf.

HM03
Generation I	Surf	Badge Required
RBY	Prize for finding the secret house in the Safari Zone.	Soul Badge
Generation II	Surf	Badge Required
GSC	Prize for defeating the kimono girls at Ecruteak City's theater.	Fog Badge
Generation III	Surf	Badge Required
RSE	Obtain from Wally's father in Petalburg City after defeating Norman.	Balance Badge
FRLG	Prize for finding the secret house in the Safari Zone.	Soul Badge
Generation IV	Surf	Badge Required
DP	Obtain from Cynthia's grandmother inside Celestic Town's ruins after defeating the grunt blocking the entrance and delivering her the Cute Charm.	Relic Badge
Pt	Obtain from Cynthia's grandmother inside Celestic Town's ruins after defeating Cyrus who's blocking the entrance.	Fen Badge
HGSS	Prize for defeating the kimono girls at Ecruteak City theater.	Fog Badge
Generation V	Surf	Badge Required
BW	Obtain from Alder at Twist Mountain after defeating Cheren.	None
B2W2	Obtain from Cheren in Route 6 after Team Plasma raids the Pokémon World Tournament.	None
Generation VI	Surf	Badge Required
XY	Obtain from Calem or Serena in Shalour City.	Rumble Badge
ORAS	Obtain from Wally's father in Petalburg City after defeating Norman.	Balance Badge