According to Official Guinness Records,
The fastest speed by a jet powered motorcycle is 202.55 mph (325.97 km/h) and was achieved by Kevin Martin (United States) on the Ballistic Eagle Jet Powered Motorcycle at the Spring Nationals, Rockingham, North Carolina, United States, on 24 April 2009. Kevin Martin covered 1/4 mile in 7.887 seconds and both the time and speed were certified by the IHRA (International Hot Rod Association).
For a complete list of 2009 records, please visit 2009 Guinness Records in United States.