This year's event features "rock's first superstar drummer', Ginger Baker, the Neil Cowley Trio and a performance by legendary singer and guitarist, George Benson.
A spokeswoman for the festival said more than 10,000 turned out for the various ticketed and free events on offer last year. Ticket figures for this year have so far been based on the core venues of the Old Fruitmarket and the Recital Rooms in the City Halls.
The event began in 1987, the same year Glasgow was bidding to become the 1990 European City of Culture.
Since then, about 635,000 music fans have flocked to see top jazz acts, such as singer Sarah Vaughan, trumpeters Miles Davis and Dizzy Gillespie and crooner Tony Bennett.
This year's festival got off to a great start with an opening night performance from top saxophonist, Pharoah Sanders, at the Old Fruitmarket.
Festival director Jill Rodger said: "The people of Glasgow and visitors from outside have really got behind the festival."
This weekend will see performances from the Strathclyde Youth Jazz Orchestra, Ian Shaw and The Scottish National Jazz Orchestra, and a sell-out show at the Old Fruitmarket from Hammond organ heroes the James Taylor Quartet, who will be backed by comedian turned DJ Craig Charles