Researchers at the University of Surrey's 5G Innovation Centre (5GIC) managed one terabit per second (Tbps) - many thousands of times faster than current data connections.
The head of the 5GIC said he hoped to demonstrate the technology to the public in 2018.
Ofcom has said 5G could be available in Britain by 2020.
At 1Tbps, it would be theoretically possible to download a file 100 times the size of a feature film in about three seconds. The speed is more than 65,000 times faster than average 4G download speeds.