Popper's Hungarian Rhapsody is composed of six sections using 8 Romani melodies. In form, this work is very similar to the Walzer-Suite, which was published four years earlier, in 1890. Max Schlegel's orchestration of the Rhapsody was published in December 1902. However, the original 1894 copyright date remained in the orchestra score as the publisher probably wanted to keep the piano and the orchestra versions as one set.

1. Andante maestoso: The Rhapsody opens with a grandiose piano introduction. The soloist enters with the same material as the introduction, this time leading to a cadenza on the D-major harmony. After the cadenza, the soloist continues playing the material from the piano introduction, but now foreshadowing the next section. The first section ends with a cadenza that centers on the A Phrygian dominant scale, also known as "Ahava Rabbah."

2. Andante: This section is a typical Csárdás lassú, oscillating between the minor tonic and minor dominant. About halfway through the section, Popper foreshadows the melody to the next section, keeping the continuity of the work.

3. Allegretto: This short section is a lighthearted melody, presented almost identically to Feri Kletzer's Hungarian Rhapsody, Op. 7. Kletzer's work was in Popper's repertoire. This theme can also be found in Liszt's in Hungarian Rhapsody No. 12 and Brahms's in Hungarian Dance No. 15.

4. Presto: This perpetual motion is the most physically demanding section of the Rhapsody. Near the end of the section, Popper quotes the previous section in the piano part.

5. Adagio: This section is another lassú and can be seen as a new beginning of the piece. Liszt uses this melody to begin his Hungarian Rhapsody No. 8.

6. Allegro vivace: The finale is the most melodically varied section; the three melodies come one after another in quick succession. Liszt used these melodies in 3 different Rhapsodies: Hungarian Rhapsody No. 14 as the finale; No. 8 as the finale, and No. 6 as the finale, respectively.

First Edition: Hofmeister: vc/pf plate 8368; orch. score plate 8661; orch. parts plate 8662