Anna Luboshutz (July 13, 1887 – February 20, 1975) was a Russian cellist.
She was a gold medal winner in 1908 at the Moscow Conservatory and had a major performing career in Russia both as a soloist and in a chamber ensemble, the Luboshutz Trio, with her sister, the violinist Lea Luboshutz and her brother, the pianist Pierre Luboshutz.
She was the first Soviet cellist to be awarded the title “Honored Artist of the Russian Soviet Federative Socialist Republic.”