Brahms had decided to stop composing when, in March 1891, he was introduced to the playing of the clarinettist Richard Mühlfeld. He spent the summer in Bad Ischl writing two works with Mühlfeld in mind: this quintet and the Clarinet Trio, Op. 114. The quintet was first played privately in Meiningen on November 24, 1891, by Mühlfeld and the Joachim Quartet, and in public in Berlin on December 12. Simrock published it in 1892, dedicated to Mühlfeld.
It shares two features with Mozart’s quintet: the strings play first, and the finale is a theme with five variations. Near the end, themes from the first movement come back, and the piece ends with an abrupt forte chord in B minor.