The pair have had extensive winemaking experience around the world, with a stint at Château Margaux as well as at wineries in Australia, New Zealand, the US and Canada.
Both are Canadian and studied biochemistry at Queen's University (Canada), earned master's degrees at Vancouver's Wine Research Centre and diplomas in oenology at the University of Adelaide.
Spriggs said: "We take our winemaking extremely seriously and believe it is an uncompromising attention to detail that counts - the tiniest things matter when producing world-class wines."
The appointments bring Nyetimber's winemaking team to three, with assistant winemaker Nicky Wakeford.
Nyetimber has also appointed Nina Walkers as sales and marketing manager. Walkers has previously worked for Hatch Mansfield, Tanners and Oddbins.