Britain targets five medals in Sochi
Britain's Amy Williams waves during the women's Skeleton heats during the Vancouver Winter Olympics on February 18, 2010
The target means that Great Britain is expected to equal its performance at the 1936 Winter Games in Garmisch-Partenkirchen, which was the last time a British team amassed at least three Olympic medals.
"These are challenging targets, but during my 24 years involved in winter sport I cannot remember a time when Great Britain has had so many talented athletes so well prepared," said Simon Timson, UK Sport's director of performance.
Britain has claimed just one medal at each of the last two Winter Games, with both successes coming in the women's skeleton.
Amy Williams took gold in Vancouver in 2010, four years after Shelley Rudman had won a silver medal in Turin.
UK Sport has set a target of at least one medal in each of skeleton, skiing/snowboarding and curling, with at least two Paralympic medals expected in para-Alpine skiing.
"We will have a very strong British team out in Sochi supported by record amounts of public funding," said British sports minister Helen Grant.
"I know our winter sports athletes will be raring to go when they reach the start line and they have the potential to deliver our best medal tally in generations. The whole country is behind them."