Anner Bylsma (born Anne Bijlsma 17 February 1934, The Hague) is a Dutch cellist who plays on both modern and period instruments in a historically informed style. He took an interest in music from an early age. He studied with Carel van Leeuwen Boomkamp 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.