Anner Bylsma (born Anne Bijlsma, 17 February 1934 – 25 July 2019) was a Dutch cellist who played on both modern and period instruments in a historically informed style. He took an interest in music from an early age. He studied with at the Royal Conservatory of The Hague and won the Prix d'excellence in 1957. In 1979, Bylsma recorded the six suites for unaccompanied cello (BWV 1007–1012) by J. S. Bach, the first of its kind on a period instrument. He later went on to recreate the same music in 1992 on the large Servais Stradivarius and on a five-string violoncello piccolo.