Aoi Teshima - Lullaby Of Birdland - OST Kids on the Slope 坂道のアポロン

"Lullaby of Birdland" is a 1952 popular song with music by George Shearing and lyrics by George David Weiss
The song has been recorded by many vocal and instrumental performers, including Ella Fitzgerald (her version being a 1954 chart record)
http://en.wikipedia.org/wiki/Lullaby_of_Birdland
http://en.wikipedia.org/wiki/Aoi_Teshima