He has been named by police as 47-year-old Ian James Whyte from Peebles.
The incident took place on the B6362 Lauder to Stow Road at about 19:30 on Friday, after the black Vauxhall Vivaro van came off the road.
Emergency crews were called, but the driver was pronounced dead the scene. Police have appealed for information into the circumstances of the crash.
Police Sergeant Ross Drummond said: "Sadly the driver died at the scene and road policing officers are now carrying out enquiries to establish the circumstances.
"We are appealing for any witnesses to this collision,  to contact Police Scotland on 101."
A man has died following a one-vehicle crash involving a van near Lauder in the Borders.