According to Mozart's own catalog of works, this piece was completed on December 11, 1784. It was the sixth piano concerto composed in this prolific year. The exact date of its premiere is unknown, but it might have taken place at the subscription concert held just the following day.

This work is referred to as the "Second Coronation Concerto" due to a note in the first edition stating that it was performed by Mozart himself on October 15, 1790, during the festivities for Leopold II's coronation. The "First Coronation Concerto" performed concurrently was No. 26, K. 537, composed in 1788.

Regarding instrumentation, Mozart's own catalog indicates that it includes trumpets and timpani, similar to No. 26, but these parts are actually lost. It is unclear whether they were written on a separate sheet that was lost, or if he simply made a mistake in his entry (Mozart typically did not use these instruments in works in F major).

A cadenza for the first movement and a cadenza and Eingang for the third movement have been preserved.

First Movement

Allegro, F major, 2/2 time. Concerto-sonata form. As symbolized by the addition of flutes to the opening strings, woodwind instruments are effectively utilized in this lively movement.

Second Movement

Allegretto, C major, 6/8 time. It consists of a peaceful, lullaby-like theme, but two short minor sections featuring woodwinds and piano appear midway.

Third Movement

Allegro assai, F major, 2/4 time. While a light theme, utilizing the opening anacrusis, boisterously adorns the entire movement, a fugal theme appears heavily accompanied by the bass, and these elements show a splendid harmony.