"Polar Star" is a song by South Korean rock band F.T. Island. It is their ninth single under Warner Music Japan and 12th single overall in Japan. The song was written and composed by Hiroki Horiko. It was released on November 28, 2012, in three editions: a CD-only edition, and limited editions A and B. The single debuted at number four on the Oricon weekly chart, selling over 35,000 copies in its first week.

"Polar Star" was written and composed by Hiroki Horiko. "Fallin' for You" was written by Lee Jae-jin and Kenn Kato, and composed by Lee. "Beautiful World" was written by Kato and composed by Choi Jong-hoon.

"Polar Star" was classified as a medium-tempo rock song that describes a love that never changes, similar to how the location of a pole star never changes. "Fallin' for You" is an acoustic rock song that "depicts a man who isn't able to get close to the woman he loves". Lee was inspired to write the melody from playing his acoustic guitar. "Beautiful World" is a rock ballad that incorporates the use of a piano, which was described as having a sound not previously heard from F.T. Island. Choi composed the melody while thinking of the lyrics, which describe how "a man looks on at his lovely lover".

"Polar Star" was released on November 28, 2012, in three editions: a CD-only edition which includes one of seven random trading cards; a limited edition A which includes the music video of the song and a special feature, and multi-angle performance footage of "Neverland" and "Stay" at the F.T. Island Summer Tour 2012: Run! Run! Run! that took place at Saitama Super Arena; and a limited edition B which includes performance footage of "Stay", "Paper Plane", "Life", "Neverland", "Boom Boom Boom", "Top Secret", "I Hope", and "Flower Rock" from Mezamashi Live held in the Odaiba My Beat Stadium on July 28, 2012.

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