His works include the operas Das Nachtlager in Granada and incidental music to Der Verschwender, both produced in 1834 in Vienna.
Born in Meßkirch, Baden, Kreutzer abandoned his studies in the law (University of Freiburg) and went to Vienna about 1804, where he met Ludwig van Beethoven, Joseph Haydn and may have studied with Johann Georg Albrechtsberger, while he tried his hand unsuccessfully at singspiele.
Kreutzer owes his fame almost exclusively to Das Nachtlager in Granada (1834), which kept the stage for half a century in spite of changes in musical taste.
The same qualities are found in Kreutzer's part-songs for men's voices, which at one time were extremely popular in Germany.
He was one of the 50 composers who wrote a variation on a waltz of Anton Diabelli for Part II of the "Vaterländischer Künstlerverein" (published 1824).