Answer:
In the "Frosty the Snowman" TV show released December 7, 1969, Santa Claus brings Frosty back to life with a touch of Christmas snow.
In a another story Frost was brought back with a magic hat. The original Frosty story comes from the "Frosty the Snowman" song by Walter "Jack" Rollins and Steve Nelson, first recorded in 1950.
In the song Frosty hurries away before he melts, calling back, "Don't you cry, I'll be back again some day." (See Related Links for the song lyrics.)
In the song, the snowman was animated by (some magic in that old silk hat they found, for when they put it on his head, he began to dance around!)