"[2] Landowska was responsible for the composition of several other new pieces of music for the instrument, notably Manuel de Falla's harpsichord concerto and his El retablo de Maese Pedro (at the premiere of which, at the salon of Winnaretta Singer, Poulenc and Landowska met for the first time).

After a private performance in which Poulenc played the orchestral parts on the piano, the piece's public premiere was on May 3, 1929 at the Salle Pleyel in Paris, with Landowska playing the solo part and the Orchestre Symphonique de Paris conducted by Pierre Monteux.

The work is scored for an orchestra of two flutes, piccolo, two oboes, cor anglais, two clarinets, two bassoons, four horns, two trumpets, trombone, tuba, timpani, side drums (with and without snares), tambourine, triangle, bass drum, cymbals, xylophone, and strings (the usual two sections of violins, violas, cellos and double basses—Poulenc stipulates eight each of first and second violins, and four each of violas, cellos and basses).

It is for this reason, as well as the plain influence of Stravinsky's music of the same period, that the Concert and its slightly later companion work, the Aubade for piano and orchestra, are regarded as neoclassical compositions.

However, Trevor Pinnock has played and recorded it on a 3-manual Hass instrument with disposition 16' 8' 8 ' 4' 2', lute, 2 buffs, 2 couplers.