It comes on top of a shortage in prosecco, another popular summer tipple in the UK.
"The double whammy of a possible prosecco and New Zealand sauvignon blanc drinks drought will mean fans of both wines having to spend more this summer to access their favourite bottles."
Mr Holness said the last poor harvest in 2012 saw a drop in exports to the UK of 2 per cent.
Chris Stroud of New Zealand Wine Growers said the 2015 vintage was expected to be down about 25 per cent on 2014, a record year, but there was little cause for concern.
He told The Drinks Business that wineries would manage stocks of 2014 vintage to meet demand. "We are also confident of an excellent crop and consumers will be able to continue to enjoy the quality that New Zealand Sauvignon Blanc delivers," he said.
Wine Growers CEO Philip Gregan said in March that the warm dry summer of 2015 was perfect for ripening grapes, and the prospects were for a high quality vintage.
Although the the 2015 vintage would be significantly smaller than last year, sales in the year ahead will be supported by stocks from 2014. Sauvignon blanc accounts for more than 86 per cent of wine exported from New Zealand, and exports are worth more than $1 billion a year.