Heinz Friedrich Hartig (September 10, 1907 in Kassel – September 16, 1969 in Berlin) was a German composer and harpsichordist.
In 1948 he began teaching at the Berliner Hochschule für Musik. Seven years later, he took up a professorship there. He became acquainted with Boris Blacher, a composer with whom he collaborated extensively.
As harpsichordist, Hartig made numerous recordings, mostly in the role of continuo player rather than soloist. His compositional output consists mainly of concertos, sonatas, songs, oratorios and choral works. He also gained a distinguished reputation as a pedagogue. His students included Carlo Domeniconi and Roland Pfrengle.