Britain will take on the United States away next February when they return to the Davis Cup World Group for the first time since 2008.
Andy Murray won both his singles and the doubles with Colin Fleming as the British defeated Croatia 4-1 in Umag last weekend to clinch their return to the eilte.
But coach Leon Smith would have hoped for an easier draw than he got, with John Isner and Sam Querrey, top singles players, backed by the best doubles team in the world, the Bryan brothers Bob and Mike.
Also back in the top flight for the first time since 2007, are 28-time former winners Australia, who came through by defeating Poland 4-1 at the weekend.
Lleyton Hewitt and Bernard Tomic will likely be the Australian singles choices again as they travel to France, who last won the Davis Cup in 2001.
This year's Davis Cup final will oppose defending champions Czech Republic against Serbia in Belgrade in November.
The Czechs will open their 2014 campaign at home to the Netherlands, while Serbia host Switzerland.
The first round draw for the 2014 Davis Cup World Group:
Czech Republic v Netherlands
Japan v Canada
Germany v Spain
France v Australia
United States v Britain
Argentina v Italy
Kazakhstan v Belgium
Serbia v Switzerland
(Matches to be played January 31-February 2)