He was educated at Exeter University.
In 1999, he was Chairman of Finance South West Limited.
At the 1999 European Parliament election, the United Kingdom switched from electing MEPs in first past the post constituencies to a form of region-based proportional representation. Each party put forward a list of candidates, and the higher its vote share, the more seats it would be awarded. Thus Watson was elected, but Teverson lost his seat.
On 1 June 2006, he was created a life peer as Baron Teverson, of Tregony in the County of Cornwall.
Terrye Jones has stood in parliamentary elections for the Liberal Democrats both before and after marrying Teverson. At the 1994 European Parliament election, Teverson was elected Member of the European Parliament (Member of the European Parliament) for Cornwall and West Plymouth, becoming one of the first two Liberal Democrats ever elected to the European Parliament along with Graham Watson in Somerset and North Devon. He was Chief Whip of the European Liberal Democrats from 1997 and 1999.
Watson and Teverson were both MEPs in the South West region, and the Liberal Democrats placed Watson in first position on its list and Teverson in second position. At the election, the Liberal Democrats polled 16.5% of the vote in the South West, entitling them to just one of the region"s seven seats.