Giovanni Battista Cirri was an Italian cellist and composer in the 18th century.
He had his first musical training with his brother Ignazio (1711–1787) and was for a time organist at Forlì Cathedral. He also studied with Giovanni Battista Martini, in Bologna.
In 1739 he was admitted to Holy Orders but decided to pursue a musical career. From 1759 he was a member of the "Accademia Filarmonica". He was in Paris during the first half of the 1760s and his first works were published including a "Symphony" which was performed at the Concert Spirituel on 5 April 1763.
In 1764 he settled in London where he was employed as chamber musician to the Duke of York and Albany and director of music to the Duke of Gloucester and Edinburgh. His first public appearance in London on 16 May 1764 was as an accompanist to violinist Marcella. He played solos at the eight-year-old Mozart's first public concert in London. He also participated in the Bach-Abel Concerts which were very popular at that time. While in London he also composed numerous works for cello including the "Drei Sonaten für Violoncello und Basso continuo"